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Finding the Fourth Proportional to 3,855.28, 5,773.16 and 2,766.64

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Solution

The fourth proportional to 3,855.28, 5,773.16 and 2,766.64 is: 4,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.28 : 5,773.16 = 2,766.64 : x
  2. Step 2: Convert to fraction form
    3,855.28/5,773.16 = 2,766.64/x
  3. Step 3: Cross multiply
    3,855.28x = 5,773.16 × 2,766.64
  4. Step 4: Simplify right side
    3,855.28x = 15,972,255.38
  5. Step 5: Solve for x
    x = 15,972,255.38/3,855.28
  6. Step 6: Final answer
    x = 4,142.96

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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.