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Finding the Fourth Proportional to 2,721.92, 4,082.28 and 872.68

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Solution

The fourth proportional to 2,721.92, 4,082.28 and 872.68 is: 1,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.92 : 4,082.28 = 872.68 : x
  2. Step 2: Convert to fraction form
    2,721.92/4,082.28 = 872.68/x
  3. Step 3: Cross multiply
    2,721.92x = 4,082.28 × 872.68
  4. Step 4: Simplify right side
    2,721.92x = 3,562,524.11
  5. Step 5: Solve for x
    x = 3,562,524.11/2,721.92
  6. Step 6: Final answer
    x = 1,308.83

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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.