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Finding the Fourth Proportional to 18,332.12, 27,512 and 13,414.44

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Solution

The fourth proportional to 18,332.12, 27,512 and 13,414.44 is: 20,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,332.12 : 27,512 = 13,414.44 : x
  2. Step 2: Convert to fraction form
    18,332.12/27,512 = 13,414.44/x
  3. Step 3: Cross multiply
    18,332.12x = 27,512 × 13,414.44
  4. Step 4: Simplify right side
    18,332.12x = 369,058,073.28
  5. Step 5: Solve for x
    x = 369,058,073.28/18,332.12
  6. Step 6: Final answer
    x = 20,131.77

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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.