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Finding the Fourth Proportional to 2,766.18, 4,148.82 and 917.22

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Solution

The fourth proportional to 2,766.18, 4,148.82 and 917.22 is: 1,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.18 : 4,148.82 = 917.22 : x
  2. Step 2: Convert to fraction form
    2,766.18/4,148.82 = 917.22/x
  3. Step 3: Cross multiply
    2,766.18x = 4,148.82 × 917.22
  4. Step 4: Simplify right side
    2,766.18x = 3,805,380.68
  5. Step 5: Solve for x
    x = 3,805,380.68/2,766.18
  6. Step 6: Final answer
    x = 1,375.68

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1.5x scale

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.