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Finding the Fourth Proportional to 12,737.20, 17,572.50 and 9,388

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Solution

The fourth proportional to 12,737.20, 17,572.50 and 9,388 is: 12,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.20 : 17,572.50 = 9,388 : x
  2. Step 2: Convert to fraction form
    12,737.20/17,572.50 = 9,388/x
  3. Step 3: Cross multiply
    12,737.20x = 17,572.50 × 9,388
  4. Step 4: Simplify right side
    12,737.20x = 164,970,630
  5. Step 5: Solve for x
    x = 164,970,630/12,737.20
  6. Step 6: Final answer
    x = 12,951.88

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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.