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Finding the Fourth Proportional to 41,408, 62,121.72 and 13,706

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Solution

The fourth proportional to 41,408, 62,121.72 and 13,706 is: 20,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408 : 62,121.72 = 13,706 : x
  2. Step 2: Convert to fraction form
    41,408/62,121.72 = 13,706/x
  3. Step 3: Cross multiply
    41,408x = 62,121.72 × 13,706
  4. Step 4: Simplify right side
    41,408x = 851,440,294.32
  5. Step 5: Solve for x
    x = 851,440,294.32/41,408
  6. Step 6: Final answer
    x = 20,562.22

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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.