Ratio and Proportion | Miljolyn Ricamata | Live - Free Printable

To solve for X in each proportion, we use cross multiplication. That means we multiply the top number (numerator) of one fraction by the bottom number (denominator) of the other fraction, and set them equal.

Let’s go step by step for each problem:

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Problem 1:
X/6 = 15/18
Cross multiply: X × 18 = 6 × 15 → 18X = 90
Divide both sides by 18: X = 90 ÷ 18 = 5

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Problem 2:
X/3 = 16/24
Cross multiply: X × 24 = 3 × 16 → 24X = 48
Divide both sides by 24: X = 48 ÷ 24 = 2

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Problem 3:
3/5 = X/15
Cross multiply: 3 × 15 = 5 × X → 45 = 5X
Divide both sides by 5: X = 45 ÷ 5 = 9

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Problem 4:
X/6 = 2/12
Cross multiply: X × 12 = 6 × 2 → 12X = 12
Divide both sides by 12: X = 12 ÷ 12 = 1

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Problem 5:
X/5 = 16/20
Cross multiply: X × 20 = 5 × 16 → 20X = 80
Divide both sides by 20: X = 80 ÷ 20 = 4

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Problem 6:
1/2 = X/8
Cross multiply: 1 × 8 = 2 × X → 8 = 2X
Divide both sides by 2: X = 8 ÷ 2 = 4

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Problem 7:
X/8 = 10/16
Cross multiply: X × 16 = 8 × 10 → 16X = 80
Divide both sides by 16: X = 80 ÷ 16 = 5

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Problem 8:
X/2 = 4/8
Cross multiply: X × 8 = 2 × 4 → 8X = 8
Divide both sides by 8: X = 8 ÷ 8 = 1

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Problem 9:
X/4 = 9/12
Cross multiply: X × 12 = 4 × 9 → 12X = 36
Divide both sides by 12: X = 36 ÷ 12 = 3

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Problem 10:
1/3 = 3/X
Cross multiply: 1 × X = 3 × 3 → X = 9
So, X = 9

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Final Answer:
1. 5
2. 2
3. 9
4. 1
5. 4
6. 4
7. 5
8. 1
9. 3
10. 9