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Finding the Fourth Proportional to 2,781.73, 4,173 and 932.43

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Solution

The fourth proportional to 2,781.73, 4,173 and 932.43 is: 1,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.73 : 4,173 = 932.43 : x
  2. Step 2: Convert to fraction form
    2,781.73/4,173 = 932.43/x
  3. Step 3: Cross multiply
    2,781.73x = 4,173 × 932.43
  4. Step 4: Simplify right side
    2,781.73x = 3,891,030.39
  5. Step 5: Solve for x
    x = 3,891,030.39/2,781.73
  6. Step 6: Final answer
    x = 1,398.78

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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.