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Finding the Fourth Proportional to 2,721.68, 4,082.76 and 989.84

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Solution

The fourth proportional to 2,721.68, 4,082.76 and 989.84 is: 1,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.68 : 4,082.76 = 989.84 : x
  2. Step 2: Convert to fraction form
    2,721.68/4,082.76 = 989.84/x
  3. Step 3: Cross multiply
    2,721.68x = 4,082.76 × 989.84
  4. Step 4: Simplify right side
    2,721.68x = 4,041,279.16
  5. Step 5: Solve for x
    x = 4,041,279.16/2,721.68
  6. Step 6: Final answer
    x = 1,484.85

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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.