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Finding the Fourth Proportional to 3,805.92, 5,710.72 and 1,727.36

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Solution

The fourth proportional to 3,805.92, 5,710.72 and 1,727.36 is: 2,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.92 : 5,710.72 = 1,727.36 : x
  2. Step 2: Convert to fraction form
    3,805.92/5,710.72 = 1,727.36/x
  3. Step 3: Cross multiply
    3,805.92x = 5,710.72 × 1,727.36
  4. Step 4: Simplify right side
    3,805.92x = 9,864,469.30
  5. Step 5: Solve for x
    x = 9,864,469.30/3,805.92
  6. Step 6: Final answer
    x = 2,591.88

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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.