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Finding the Fourth Proportional to 2,766.42, 4,147.07 and 1,449.90

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Solution

The fourth proportional to 2,766.42, 4,147.07 and 1,449.90 is: 2,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.42 : 4,147.07 = 1,449.90 : x
  2. Step 2: Convert to fraction form
    2,766.42/4,147.07 = 1,449.90/x
  3. Step 3: Cross multiply
    2,766.42x = 4,147.07 × 1,449.90
  4. Step 4: Simplify right side
    2,766.42x = 6,012,829.54
  5. Step 5: Solve for x
    x = 6,012,829.54/2,766.42
  6. Step 6: Final answer
    x = 2,173.51

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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.