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Finding the Fourth Proportional to 2,626.57, 3,940.10 and 871.20

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Solution

The fourth proportional to 2,626.57, 3,940.10 and 871.20 is: 1,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.57 : 3,940.10 = 871.20 : x
  2. Step 2: Convert to fraction form
    2,626.57/3,940.10 = 871.20/x
  3. Step 3: Cross multiply
    2,626.57x = 3,940.10 × 871.20
  4. Step 4: Simplify right side
    2,626.57x = 3,432,617.30
  5. Step 5: Solve for x
    x = 3,432,617.30/2,626.57
  6. Step 6: Final answer
    x = 1,306.88

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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.