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Finding the Fourth Proportional to 3,862.56, 5,793.88 and 940.86

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Solution

The fourth proportional to 3,862.56, 5,793.88 and 940.86 is: 1,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.56 : 5,793.88 = 940.86 : x
  2. Step 2: Convert to fraction form
    3,862.56/5,793.88 = 940.86/x
  3. Step 3: Cross multiply
    3,862.56x = 5,793.88 × 940.86
  4. Step 4: Simplify right side
    3,862.56x = 5,451,229.94
  5. Step 5: Solve for x
    x = 5,451,229.94/3,862.56
  6. Step 6: Final answer
    x = 1,411.30

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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.