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Finding the Fourth Proportional to 42,537, 63,800.64 and 11,374.68

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Solution

The fourth proportional to 42,537, 63,800.64 and 11,374.68 is: 17,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,537 : 63,800.64 = 11,374.68 : x
  2. Step 2: Convert to fraction form
    42,537/63,800.64 = 11,374.68/x
  3. Step 3: Cross multiply
    42,537x = 63,800.64 × 11,374.68
  4. Step 4: Simplify right side
    42,537x = 725,711,806.92
  5. Step 5: Solve for x
    x = 725,711,806.92/42,537
  6. Step 6: Final answer
    x = 17,060.72

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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.