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Finding the Fourth Proportional to 20,524.92, 30,781.90 and 5,731.24

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Solution

The fourth proportional to 20,524.92, 30,781.90 and 5,731.24 is: 8,595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.92 : 30,781.90 = 5,731.24 : x
  2. Step 2: Convert to fraction form
    20,524.92/30,781.90 = 5,731.24/x
  3. Step 3: Cross multiply
    20,524.92x = 30,781.90 × 5,731.24
  4. Step 4: Simplify right side
    20,524.92x = 176,418,456.56
  5. Step 5: Solve for x
    x = 176,418,456.56/20,524.92
  6. Step 6: Final answer
    x = 8,595.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.