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Finding the Fourth Proportional to 2,722.97, 4,083.96 and 721.67

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Solution

The fourth proportional to 2,722.97, 4,083.96 and 721.67 is: 1,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.97 : 4,083.96 = 721.67 : x
  2. Step 2: Convert to fraction form
    2,722.97/4,083.96 = 721.67/x
  3. Step 3: Cross multiply
    2,722.97x = 4,083.96 × 721.67
  4. Step 4: Simplify right side
    2,722.97x = 2,947,278.86
  5. Step 5: Solve for x
    x = 2,947,278.86/2,722.97
  6. Step 6: Final answer
    x = 1,082.38

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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.