This proportion word problems worksheet helps students practice applying mathematical concepts to real-world scenarios

Let’s solve each problem one by one. We’ll use proportions — that means setting up two equal ratios to find the missing value.

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Problem 1:
You can buy 2 pairs of shoes for $50. How many pairs can you buy for $67?

Set up a proportion:
2 pairs / $50 = x pairs / $67

Cross-multiply:
2 × 67 = 50 × x
134 = 50x
Divide both sides by 50:
x = 134 ÷ 50 = 2.68

But you can’t buy 0.68 of a pair — so you can only buy 2 full pairs with $67 (since 3 pairs would cost $75).

Wait — let’s check:
If 2 pairs = $50, then 1 pair = $25.
$67 ÷ $25 = 2.68 → still 2 full pairs.

✔ Final answer for #1: 2

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Problem 2:
One package of blueberries costs $3. How many packages can you buy for $9?

This is simple division:
$9 ÷ $3 per package = 3 packages.

✔ Final answer for #2: 3

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Problem 3:
One cantaloupe costs $2. How many can you buy for $6?

$6 ÷ $2 = 3 cantaloupes.

✔ Final answer for #3: 3

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Problem 4:
Sharon reduced the size of a rectangle to a height of 4 in. What is the new width if it was originally 24 in wide and 8 in tall?

Original ratio: width : height = 24 : 8 = 3 : 1
New height = 4 in → so new width = 3 × 4 = 12 in

Or set up proportion:
24 / 8 = x / 4
Cross-multiply: 24 × 4 = 8 × x → 96 = 8x → x = 12

✔ Final answer for #4: 12

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Problem 5:
Ming is planning a trip to Western Samoa. She knows that $6 U.S. = 17 Samoan Tala. How many Tala will she get for $60?

Set up proportion:
6 USD / 17 Tala = 60 USD / x Tala

Cross-multiply:
6x = 17 × 60
6x = 1020
x = 1020 ÷ 6 = 170

✔ Final answer for #5: 170

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Problem 6:
Jaime bought 12 feet of hose for $18. If he buys 24 feet, how much will it cost?

First, find cost per foot: $18 ÷ 12 ft = $1.50 per foot
Then, 24 ft × $1.50 = $36

Or proportion:
12 ft / $18 = 24 ft / x
Cross-multiply: 12x = 18 × 24 → 12x = 432 → x = 36

✔ Final answer for #6: 36

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Problem 7:
If you can buy four bunches of seedless grapes for $10, how many can you buy with $25?

Cost per bunch: $10 ÷ 4 = $2.50
$25 ÷ $2.50 = 10 bunches

Or proportion:
4 bunches / $10 = x bunches / $25
Cross-multiply: 4 × 25 = 10x → 100 = 10x → x = 10

✔ Final answer for #7: 10

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Problem 8:
One bunch of emerald black grapes costs $2. How many bunches can you buy for $10?

$10 ÷ $2 = 5 bunches.

✔ Final answer for #8: 5

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Problem 9:
The money used in Jordan is called the Dinar. The exchange rate is $5 to 3 Dinars. Find how many Dinars you would receive if you exchanged $22.

Set up proportion:
$5 / 3 Dinars = $22 / x Dinars

Cross-multiply:
5x = 3 × 22 → 5x = 66 → x = 66 ÷ 5 = 13.2

Since we’re dealing with currency, we usually keep decimals unless told otherwise. So 13.2 Dinars.

But sometimes they expect whole numbers — but here, since 5 doesn’t divide evenly into 22, decimal is fine.

✔ Final answer for #9: 13.2

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Now, compiling all answers in order:

Final Answer:
1. 2
2. 3
3. 3
4. 12
5. 170
6. 36
7. 10
8. 5
9. 13.2