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Finding the Fourth Proportional to 8,337.38, 12,497.07 and 5,417.78

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Solution

The fourth proportional to 8,337.38, 12,497.07 and 5,417.78 is: 8,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.38 : 12,497.07 = 5,417.78 : x
  2. Step 2: Convert to fraction form
    8,337.38/12,497.07 = 5,417.78/x
  3. Step 3: Cross multiply
    8,337.38x = 12,497.07 × 5,417.78
  4. Step 4: Simplify right side
    8,337.38x = 67,706,375.90
  5. Step 5: Solve for x
    x = 67,706,375.90/8,337.38
  6. Step 6: Final answer
    x = 8,120.82

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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.