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Finding the Fourth Proportional to 3,937.43, 5,906.15 and 3,696.86

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Solution

The fourth proportional to 3,937.43, 5,906.15 and 3,696.86 is: 5,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.43 : 5,906.15 = 3,696.86 : x
  2. Step 2: Convert to fraction form
    3,937.43/5,906.15 = 3,696.86/x
  3. Step 3: Cross multiply
    3,937.43x = 5,906.15 × 3,696.86
  4. Step 4: Simplify right side
    3,937.43x = 21,834,185.68
  5. Step 5: Solve for x
    x = 21,834,185.68/3,937.43
  6. Step 6: Final answer
    x = 5,545.29

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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.