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Finding the Fourth Proportional to 3,791.96, 5,691.99 and 2,151.71

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Solution

The fourth proportional to 3,791.96, 5,691.99 and 2,151.71 is: 3,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.96 : 5,691.99 = 2,151.71 : x
  2. Step 2: Convert to fraction form
    3,791.96/5,691.99 = 2,151.71/x
  3. Step 3: Cross multiply
    3,791.96x = 5,691.99 × 2,151.71
  4. Step 4: Simplify right side
    3,791.96x = 12,247,511.80
  5. Step 5: Solve for x
    x = 12,247,511.80/3,791.96
  6. Step 6: Final answer
    x = 3,229.86

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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.