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Finding the Fourth Proportional to 10,449.98, 15,732 and 9,531.44

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Solution

The fourth proportional to 10,449.98, 15,732 and 9,531.44 is: 14,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.98 : 15,732 = 9,531.44 : x
  2. Step 2: Convert to fraction form
    10,449.98/15,732 = 9,531.44/x
  3. Step 3: Cross multiply
    10,449.98x = 15,732 × 9,531.44
  4. Step 4: Simplify right side
    10,449.98x = 149,948,614.08
  5. Step 5: Solve for x
    x = 149,948,614.08/10,449.98
  6. Step 6: Final answer
    x = 14,349.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.