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Finding the Fourth Proportional to 3,791.61, 5,672.43 and 2,869.83

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Solution

The fourth proportional to 3,791.61, 5,672.43 and 2,869.83 is: 4,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.61 : 5,672.43 = 2,869.83 : x
  2. Step 2: Convert to fraction form
    3,791.61/5,672.43 = 2,869.83/x
  3. Step 3: Cross multiply
    3,791.61x = 5,672.43 × 2,869.83
  4. Step 4: Simplify right side
    3,791.61x = 16,278,909.79
  5. Step 5: Solve for x
    x = 16,278,909.79/3,791.61
  6. Step 6: Final answer
    x = 4,293.40

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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.