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Finding the Fourth Proportional to 3,255.11, 4,882.61 and 789.92

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Solution

The fourth proportional to 3,255.11, 4,882.61 and 789.92 is: 1,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.11 : 4,882.61 = 789.92 : x
  2. Step 2: Convert to fraction form
    3,255.11/4,882.61 = 789.92/x
  3. Step 3: Cross multiply
    3,255.11x = 4,882.61 × 789.92
  4. Step 4: Simplify right side
    3,255.11x = 3,856,842.93
  5. Step 5: Solve for x
    x = 3,856,842.93/3,255.11
  6. Step 6: Final answer
    x = 1,184.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.