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Finding the Fourth Proportional to 2,766.27, 4,148.97 and 917.31

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Solution

The fourth proportional to 2,766.27, 4,148.97 and 917.31 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.27 : 4,148.97 = 917.31 : x
  2. Step 2: Convert to fraction form
    2,766.27/4,148.97 = 917.31/x
  3. Step 3: Cross multiply
    2,766.27x = 4,148.97 × 917.31
  4. Step 4: Simplify right side
    2,766.27x = 3,805,891.67
  5. Step 5: Solve for x
    x = 3,805,891.67/2,766.27
  6. Step 6: Final answer
    x = 1,375.82

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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.