Mrs.D Math · 7th Grade

PROP
QUEST

Solve Problems with Proportions
1
Set up the proportion
→
2
Cross multiply
→
3
Solve for x
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📚 Solving Problems with Proportions

The 3-Step Method

1
Set up the proportion. Write two equal fractions. Keep the same units in the same position (top or bottom).
3 cookies / 24 cookies = x cups / 72 cookies
2
Cross multiply. Multiply the diagonal values.
3 × 72 = 24 × x   →   216 = 24x
3
Divide to solve for x.
x = 216 ÷ 24 = 9 cups

Tips for Setting Up the Proportion

💡
Always match the same categories on the same side of each fraction. If miles are on top in the first fraction, miles must be on top in the second.
miles/hours = miles/hours ✓
💡
The unknown (x) goes where the missing value belongs. The proportion shown will always guide you.
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Proportions solved!

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