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Finding the Fourth Proportional to 12,471.92, 18,691.73 and 5,067.78

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Solution

The fourth proportional to 12,471.92, 18,691.73 and 5,067.78 is: 7,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.92 : 18,691.73 = 5,067.78 : x
  2. Step 2: Convert to fraction form
    12,471.92/18,691.73 = 5,067.78/x
  3. Step 3: Cross multiply
    12,471.92x = 18,691.73 × 5,067.78
  4. Step 4: Simplify right side
    12,471.92x = 94,725,604.17
  5. Step 5: Solve for x
    x = 94,725,604.17/12,471.92
  6. Step 6: Final answer
    x = 7,595.11

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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.