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Finding the Fourth Proportional to 2,721.26, 4,082.25 and 871.76

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Solution

The fourth proportional to 2,721.26, 4,082.25 and 871.76 is: 1,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.26 : 4,082.25 = 871.76 : x
  2. Step 2: Convert to fraction form
    2,721.26/4,082.25 = 871.76/x
  3. Step 3: Cross multiply
    2,721.26x = 4,082.25 × 871.76
  4. Step 4: Simplify right side
    2,721.26x = 3,558,755.73
  5. Step 5: Solve for x
    x = 3,558,755.73/2,721.26
  6. Step 6: Final answer
    x = 1,307.76

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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.