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Finding the Fourth Proportional to 2,763.92, 4,146.13 and 789.57

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Solution

The fourth proportional to 2,763.92, 4,146.13 and 789.57 is: 1,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.92 : 4,146.13 = 789.57 : x
  2. Step 2: Convert to fraction form
    2,763.92/4,146.13 = 789.57/x
  3. Step 3: Cross multiply
    2,763.92x = 4,146.13 × 789.57
  4. Step 4: Simplify right side
    2,763.92x = 3,273,660.85
  5. Step 5: Solve for x
    x = 3,273,660.85/2,763.92
  6. Step 6: Final answer
    x = 1,184.43

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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.