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Finding the Fourth Proportional to 3,906.92, 5,857.18 and 1,825.90

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Solution

The fourth proportional to 3,906.92, 5,857.18 and 1,825.90 is: 2,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.92 : 5,857.18 = 1,825.90 : x
  2. Step 2: Convert to fraction form
    3,906.92/5,857.18 = 1,825.90/x
  3. Step 3: Cross multiply
    3,906.92x = 5,857.18 × 1,825.90
  4. Step 4: Simplify right side
    3,906.92x = 10,694,605.75
  5. Step 5: Solve for x
    x = 10,694,605.75/3,906.92
  6. Step 6: Final answer
    x = 2,737.35

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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.