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Finding the Fourth Proportional to 3,123.92, 4,686.56 and 932.82

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Solution

The fourth proportional to 3,123.92, 4,686.56 and 932.82 is: 1,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.92 : 4,686.56 = 932.82 : x
  2. Step 2: Convert to fraction form
    3,123.92/4,686.56 = 932.82/x
  3. Step 3: Cross multiply
    3,123.92x = 4,686.56 × 932.82
  4. Step 4: Simplify right side
    3,123.92x = 4,371,712.24
  5. Step 5: Solve for x
    x = 4,371,712.24/3,123.92
  6. Step 6: Final answer
    x = 1,399.43

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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.