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Finding the Fourth Proportional to 3,983.92, 5,979 and 2,759.92

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Solution

The fourth proportional to 3,983.92, 5,979 and 2,759.92 is: 4,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.92 : 5,979 = 2,759.92 : x
  2. Step 2: Convert to fraction form
    3,983.92/5,979 = 2,759.92/x
  3. Step 3: Cross multiply
    3,983.92x = 5,979 × 2,759.92
  4. Step 4: Simplify right side
    3,983.92x = 16,501,561.68
  5. Step 5: Solve for x
    x = 16,501,561.68/3,983.92
  6. Step 6: Final answer
    x = 4,142.04

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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.