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Finding the Fourth Proportional to 2,766.89, 4,151.15 and 819.14

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Solution

The fourth proportional to 2,766.89, 4,151.15 and 819.14 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.89 : 4,151.15 = 819.14 : x
  2. Step 2: Convert to fraction form
    2,766.89/4,151.15 = 819.14/x
  3. Step 3: Cross multiply
    2,766.89x = 4,151.15 × 819.14
  4. Step 4: Simplify right side
    2,766.89x = 3,400,379.29
  5. Step 5: Solve for x
    x = 3,400,379.29/2,766.89
  6. Step 6: Final answer
    x = 1,228.95

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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.