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Finding the Fourth Proportional to 3,862.62, 5,789.07 and 2,769.12

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Solution

The fourth proportional to 3,862.62, 5,789.07 and 2,769.12 is: 4,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.62 : 5,789.07 = 2,769.12 : x
  2. Step 2: Convert to fraction form
    3,862.62/5,789.07 = 2,769.12/x
  3. Step 3: Cross multiply
    3,862.62x = 5,789.07 × 2,769.12
  4. Step 4: Simplify right side
    3,862.62x = 16,030,629.52
  5. Step 5: Solve for x
    x = 16,030,629.52/3,862.62
  6. Step 6: Final answer
    x = 4,150.20

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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.