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Finding the Fourth Proportional to 2,287.71, 3,432.33 and 727.97

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Solution

The fourth proportional to 2,287.71, 3,432.33 and 727.97 is: 1,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.71 : 3,432.33 = 727.97 : x
  2. Step 2: Convert to fraction form
    2,287.71/3,432.33 = 727.97/x
  3. Step 3: Cross multiply
    2,287.71x = 3,432.33 × 727.97
  4. Step 4: Simplify right side
    2,287.71x = 2,498,616.11
  5. Step 5: Solve for x
    x = 2,498,616.11/2,287.71
  6. Step 6: Final answer
    x = 1,092.19

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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.