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Finding the Fourth Proportional to 3,869.28, 5,794.20 and 2,773.08

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Solution

The fourth proportional to 3,869.28, 5,794.20 and 2,773.08 is: 4,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.28 : 5,794.20 = 2,773.08 : x
  2. Step 2: Convert to fraction form
    3,869.28/5,794.20 = 2,773.08/x
  3. Step 3: Cross multiply
    3,869.28x = 5,794.20 × 2,773.08
  4. Step 4: Simplify right side
    3,869.28x = 16,067,780.14
  5. Step 5: Solve for x
    x = 16,067,780.14/3,869.28
  6. Step 6: Final answer
    x = 4,152.65

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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.