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Finding the Fourth Proportional to 29,691.38, 40,972.90 and 17,761.31

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Solution

The fourth proportional to 29,691.38, 40,972.90 and 17,761.31 is: 24,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.38 : 40,972.90 = 17,761.31 : x
  2. Step 2: Convert to fraction form
    29,691.38/40,972.90 = 17,761.31/x
  3. Step 3: Cross multiply
    29,691.38x = 40,972.90 × 17,761.31
  4. Step 4: Simplify right side
    29,691.38x = 727,732,129.23
  5. Step 5: Solve for x
    x = 727,732,129.23/29,691.38
  6. Step 6: Final answer
    x = 24,509.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.