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Finding the Fourth Proportional to 3,861.30, 5,787.90 and 1,520.40

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Solution

The fourth proportional to 3,861.30, 5,787.90 and 1,520.40 is: 2,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.30 : 5,787.90 = 1,520.40 : x
  2. Step 2: Convert to fraction form
    3,861.30/5,787.90 = 1,520.40/x
  3. Step 3: Cross multiply
    3,861.30x = 5,787.90 × 1,520.40
  4. Step 4: Simplify right side
    3,861.30x = 8,799,923.16
  5. Step 5: Solve for x
    x = 8,799,923.16/3,861.30
  6. Step 6: Final answer
    x = 2,279.01

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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.