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Finding the Fourth Proportional to 2,766.76, 4,150.24 and 819.11

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Solution

The fourth proportional to 2,766.76, 4,150.24 and 819.11 is: 1,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.76 : 4,150.24 = 819.11 : x
  2. Step 2: Convert to fraction form
    2,766.76/4,150.24 = 819.11/x
  3. Step 3: Cross multiply
    2,766.76x = 4,150.24 × 819.11
  4. Step 4: Simplify right side
    2,766.76x = 3,399,511.41
  5. Step 5: Solve for x
    x = 3,399,511.41/2,766.76
  6. Step 6: Final answer
    x = 1,228.70

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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.