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Finding the Fourth Proportional to 7,691.90, 11,539.38 and 2,761.92

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Solution

The fourth proportional to 7,691.90, 11,539.38 and 2,761.92 is: 4,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.90 : 11,539.38 = 2,761.92 : x
  2. Step 2: Convert to fraction form
    7,691.90/11,539.38 = 2,761.92/x
  3. Step 3: Cross multiply
    7,691.90x = 11,539.38 × 2,761.92
  4. Step 4: Simplify right side
    7,691.90x = 31,870,854.77
  5. Step 5: Solve for x
    x = 31,870,854.77/7,691.90
  6. Step 6: Final answer
    x = 4,143.43

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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.