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Finding the Fourth Proportional to 8,691.92, 13,038.90 and 3,147.88

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Solution

The fourth proportional to 8,691.92, 13,038.90 and 3,147.88 is: 4,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.92 : 13,038.90 = 3,147.88 : x
  2. Step 2: Convert to fraction form
    8,691.92/13,038.90 = 3,147.88/x
  3. Step 3: Cross multiply
    8,691.92x = 13,038.90 × 3,147.88
  4. Step 4: Simplify right side
    8,691.92x = 41,044,892.53
  5. Step 5: Solve for x
    x = 41,044,892.53/8,691.92
  6. Step 6: Final answer
    x = 4,722.19

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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.