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Finding the Fourth Proportional to 3,992.28, 5,987.48 and 1,769.90

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Solution

The fourth proportional to 3,992.28, 5,987.48 and 1,769.90 is: 2,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.28 : 5,987.48 = 1,769.90 : x
  2. Step 2: Convert to fraction form
    3,992.28/5,987.48 = 1,769.90/x
  3. Step 3: Cross multiply
    3,992.28x = 5,987.48 × 1,769.90
  4. Step 4: Simplify right side
    3,992.28x = 10,597,240.85
  5. Step 5: Solve for x
    x = 10,597,240.85/3,992.28
  6. Step 6: Final answer
    x = 2,654.43

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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.