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Finding the Fourth Proportional to 2,720.50, 4,081.04 and 871.18

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Solution

The fourth proportional to 2,720.50, 4,081.04 and 871.18 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.50 : 4,081.04 = 871.18 : x
  2. Step 2: Convert to fraction form
    2,720.50/4,081.04 = 871.18/x
  3. Step 3: Cross multiply
    2,720.50x = 4,081.04 × 871.18
  4. Step 4: Simplify right side
    2,720.50x = 3,555,320.43
  5. Step 5: Solve for x
    x = 3,555,320.43/2,720.50
  6. Step 6: Final answer
    x = 1,306.86

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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.