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Finding the Fourth Proportional to 2,720.57, 4,081.14 and 871.97

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Solution

The fourth proportional to 2,720.57, 4,081.14 and 871.97 is: 1,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.57 : 4,081.14 = 871.97 : x
  2. Step 2: Convert to fraction form
    2,720.57/4,081.14 = 871.97/x
  3. Step 3: Cross multiply
    2,720.57x = 4,081.14 × 871.97
  4. Step 4: Simplify right side
    2,720.57x = 3,558,611.24
  5. Step 5: Solve for x
    x = 3,558,611.24/2,720.57
  6. Step 6: Final answer
    x = 1,308.04

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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.