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Finding the Fourth Proportional to 3,957.52, 5,940.12 and 1,906.96

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Solution

The fourth proportional to 3,957.52, 5,940.12 and 1,906.96 is: 2,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.52 : 5,940.12 = 1,906.96 : x
  2. Step 2: Convert to fraction form
    3,957.52/5,940.12 = 1,906.96/x
  3. Step 3: Cross multiply
    3,957.52x = 5,940.12 × 1,906.96
  4. Step 4: Simplify right side
    3,957.52x = 11,327,571.24
  5. Step 5: Solve for x
    x = 11,327,571.24/3,957.52
  6. Step 6: Final answer
    x = 2,862.29

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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.