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Finding the Fourth Proportional to 3,842.52, 5,765.91 and 2,923.80

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Solution

The fourth proportional to 3,842.52, 5,765.91 and 2,923.80 is: 4,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.52 : 5,765.91 = 2,923.80 : x
  2. Step 2: Convert to fraction form
    3,842.52/5,765.91 = 2,923.80/x
  3. Step 3: Cross multiply
    3,842.52x = 5,765.91 × 2,923.80
  4. Step 4: Simplify right side
    3,842.52x = 16,858,367.66
  5. Step 5: Solve for x
    x = 16,858,367.66/3,842.52
  6. Step 6: Final answer
    x = 4,387.32

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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.