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Finding the Fourth Proportional to 2,766.53, 4,149.78 and 2,278.55

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Solution

The fourth proportional to 2,766.53, 4,149.78 and 2,278.55 is: 3,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.53 : 4,149.78 = 2,278.55 : x
  2. Step 2: Convert to fraction form
    2,766.53/4,149.78 = 2,278.55/x
  3. Step 3: Cross multiply
    2,766.53x = 4,149.78 × 2,278.55
  4. Step 4: Simplify right side
    2,766.53x = 9,455,481.22
  5. Step 5: Solve for x
    x = 9,455,481.22/2,766.53
  6. Step 6: Final answer
    x = 3,417.81

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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.