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Finding the Fourth Proportional to 12,179.62, 18,267 and 3,414.61

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Solution

The fourth proportional to 12,179.62, 18,267 and 3,414.61 is: 5,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.62 : 18,267 = 3,414.61 : x
  2. Step 2: Convert to fraction form
    12,179.62/18,267 = 3,414.61/x
  3. Step 3: Cross multiply
    12,179.62x = 18,267 × 3,414.61
  4. Step 4: Simplify right side
    12,179.62x = 62,374,680.87
  5. Step 5: Solve for x
    x = 62,374,680.87/12,179.62
  6. Step 6: Final answer
    x = 5,121.23

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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.