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Finding the Fourth Proportional to 2,766.86, 4,150.34 and 819.11

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Solution

The fourth proportional to 2,766.86, 4,150.34 and 819.11 is: 1,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.86 : 4,150.34 = 819.11 : x
  2. Step 2: Convert to fraction form
    2,766.86/4,150.34 = 819.11/x
  3. Step 3: Cross multiply
    2,766.86x = 4,150.34 × 819.11
  4. Step 4: Simplify right side
    2,766.86x = 3,399,594.35
  5. Step 5: Solve for x
    x = 3,399,594.35/2,766.86
  6. Step 6: Final answer
    x = 1,228.68

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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.