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Finding the Fourth Proportional to 7,691.49, 11,537.24 and 2,761.43

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Solution

The fourth proportional to 7,691.49, 11,537.24 and 2,761.43 is: 4,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.49 : 11,537.24 = 2,761.43 : x
  2. Step 2: Convert to fraction form
    7,691.49/11,537.24 = 2,761.43/x
  3. Step 3: Cross multiply
    7,691.49x = 11,537.24 × 2,761.43
  4. Step 4: Simplify right side
    7,691.49x = 31,859,209.16
  5. Step 5: Solve for x
    x = 31,859,209.16/7,691.49
  6. Step 6: Final answer
    x = 4,142.14

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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.