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Finding the Fourth Proportional to 3,691.92, 5,540.31 and 1,744.32

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Solution

The fourth proportional to 3,691.92, 5,540.31 and 1,744.32 is: 2,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.92 : 5,540.31 = 1,744.32 : x
  2. Step 2: Convert to fraction form
    3,691.92/5,540.31 = 1,744.32/x
  3. Step 3: Cross multiply
    3,691.92x = 5,540.31 × 1,744.32
  4. Step 4: Simplify right side
    3,691.92x = 9,664,073.54
  5. Step 5: Solve for x
    x = 9,664,073.54/3,691.92
  6. Step 6: Final answer
    x = 2,617.63

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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.