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Finding the Fourth Proportional to 3,863.24, 5,791.62 and 3,131

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Solution

The fourth proportional to 3,863.24, 5,791.62 and 3,131 is: 4,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.24 : 5,791.62 = 3,131 : x
  2. Step 2: Convert to fraction form
    3,863.24/5,791.62 = 3,131/x
  3. Step 3: Cross multiply
    3,863.24x = 5,791.62 × 3,131
  4. Step 4: Simplify right side
    3,863.24x = 18,133,562.22
  5. Step 5: Solve for x
    x = 18,133,562.22/3,863.24
  6. Step 6: Final answer
    x = 4,693.87

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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.