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Finding the Fourth Proportional to 41,381, 62,081.22 and 13,679

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Solution

The fourth proportional to 41,381, 62,081.22 and 13,679 is: 20,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381 : 62,081.22 = 13,679 : x
  2. Step 2: Convert to fraction form
    41,381/62,081.22 = 13,679/x
  3. Step 3: Cross multiply
    41,381x = 62,081.22 × 13,679
  4. Step 4: Simplify right side
    41,381x = 849,209,008.38
  5. Step 5: Solve for x
    x = 849,209,008.38/41,381
  6. Step 6: Final answer
    x = 20,521.71

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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.