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Finding the Fourth Proportional to 3,709.80, 5,115.42 and 2,531.52

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Solution

The fourth proportional to 3,709.80, 5,115.42 and 2,531.52 is: 3,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.80 : 5,115.42 = 2,531.52 : x
  2. Step 2: Convert to fraction form
    3,709.80/5,115.42 = 2,531.52/x
  3. Step 3: Cross multiply
    3,709.80x = 5,115.42 × 2,531.52
  4. Step 4: Simplify right side
    3,709.80x = 12,949,788.04
  5. Step 5: Solve for x
    x = 12,949,788.04/3,709.80
  6. Step 6: Final answer
    x = 3,490.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.