Finding the Third Proportional to 4,138.50 and 5,691.75
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Solution
The third proportional to 4,138.50 and 5,691.75 is: 7,827.96
Step by Step Solution
- Step 1: Write the proportion equation
4,138.50 : 5,691.75 = 5,691.75 : x - Step 2: Convert to fraction form
4,138.50/5,691.75 = 5,691.75/x - Step 3: Cross multiply
4,138.50x = 5,691.75 × 5,691.75 - Step 4: Simplify right side
4,138.50x = 32,396,018.06 - Step 5: Solve for x
x = 32,396,018.06/4,138.50 - Step 6: Final answer
x = 7,827.96
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.