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Finding the Fourth Proportional to 2,675.92, 4,013.28 and 727.96

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Solution

The fourth proportional to 2,675.92, 4,013.28 and 727.96 is: 1,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.92 : 4,013.28 = 727.96 : x
  2. Step 2: Convert to fraction form
    2,675.92/4,013.28 = 727.96/x
  3. Step 3: Cross multiply
    2,675.92x = 4,013.28 × 727.96
  4. Step 4: Simplify right side
    2,675.92x = 2,921,507.31
  5. Step 5: Solve for x
    x = 2,921,507.31/2,675.92
  6. Step 6: Final answer
    x = 1,091.78

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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.