Practice solving for 'x' in proportional equations with this cross multiplication worksheet.

You're given 8 proportion problems to solve for x using the cross multiplication method.

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🔁 What is Cross Multiplication?

When you have a proportion:
> a/b = c/d

You can cross multiply to get:
> a × d = b × c

Then solve for the unknown variable (in this case, x).

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Let’s solve each one step by step:

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📌 Problem ①:

2/3 = x/2

Cross multiply:
→ 2 × 2 = 3 × x
→ 4 = 3x

Solve for x:
→ x = 4/3

✔ Answer: x = 4/3

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📌 Problem ②:

8/x = 4/3

Cross multiply:
→ 8 × 3 = x × 4
→ 24 = 4x

Solve for x:
→ x = 24 ÷ 4 = 6

✔ Answer: x = 6

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📌 Problem ③:

4/x = 6/2

First, simplify 6/2 → 3
So: 4/x = 3

But let’s cross multiply as is:
→ 4 × 2 = x × 6
→ 8 = 6x

Solve for x:
→ x = 8/6 = 4/3

✔ Answer: x = 4/3

*(Note: You could also write it as 1⅓ or 1.333...)*

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📌 Problem ④:

x/10 = 9/6

Simplify 9/6 → 3/2
But again, cross multiply directly:
→ x × 6 = 10 × 9
→ 6x = 90

Solve for x:
→ x = 90 ÷ 6 = 15

✔ Answer: x = 15

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📌 Problem ⑤:

2/10 = 10/x

Cross multiply:
→ 2 × x = 10 × 10
→ 2x = 100

Solve for x:
→ x = 100 ÷ 2 = 50

✔ Answer: x = 50

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📌 Problem ⑥:

8/4 = x/2

Simplify 8/4 → 2
So: 2 = x/2 → x = 4

But cross multiply:
→ 8 × 2 = 4 × x
→ 16 = 4x

Solve for x:
→ x = 16 ÷ 4 = 4

✔ Answer: x = 4

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📌 Problem ⑦:

3/2 = x/6

Cross multiply:
→ 3 × 6 = 2 × x
→ 18 = 2x

Solve for x:
→ x = 18 ÷ 2 = 9

✔ Answer: x = 9

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📌 Problem ⑧:

5/x = 10/2

Simplify 10/2 → 5
So: 5/x = 5 → x = 1

Cross multiply:
→ 5 × 2 = x × 10
→ 10 = 10x

Solve for x:
→ x = 10 ÷ 10 = 1

✔ Answer: x = 1

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## ✔ Final Answers:

① x = 4/3
② x = 6
③ x = 4/3
④ x = 15
⑤ x = 50
⑥ x = 4
⑦ x = 9
⑧ x = 1

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💡 Tip: Always double-check your cross multiplication by plugging x back into the original equation to verify both sides are equal!

Let me know if you’d like to see the verification steps too!