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Finding the Fourth Proportional to 3,861.85, 5,793.22 and 1,397.83

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Solution

The fourth proportional to 3,861.85, 5,793.22 and 1,397.83 is: 2,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.85 : 5,793.22 = 1,397.83 : x
  2. Step 2: Convert to fraction form
    3,861.85/5,793.22 = 1,397.83/x
  3. Step 3: Cross multiply
    3,861.85x = 5,793.22 × 1,397.83
  4. Step 4: Simplify right side
    3,861.85x = 8,097,936.71
  5. Step 5: Solve for x
    x = 8,097,936.71/3,861.85
  6. Step 6: Final answer
    x = 2,096.91

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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.