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Finding the Fourth Proportional to 41,572, 62,358.54 and 13,870

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Solution

The fourth proportional to 41,572, 62,358.54 and 13,870 is: 20,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 62,358.54 = 13,870 : x
  2. Step 2: Convert to fraction form
    41,572/62,358.54 = 13,870/x
  3. Step 3: Cross multiply
    41,572x = 62,358.54 × 13,870
  4. Step 4: Simplify right side
    41,572x = 864,912,949.80
  5. Step 5: Solve for x
    x = 864,912,949.80/41,572
  6. Step 6: Final answer
    x = 20,805.18

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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.