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Finding the Fourth Proportional to 3,149.97, 4,718.78 and 1,481.90

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Solution

The fourth proportional to 3,149.97, 4,718.78 and 1,481.90 is: 2,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.97 : 4,718.78 = 1,481.90 : x
  2. Step 2: Convert to fraction form
    3,149.97/4,718.78 = 1,481.90/x
  3. Step 3: Cross multiply
    3,149.97x = 4,718.78 × 1,481.90
  4. Step 4: Simplify right side
    3,149.97x = 6,992,729.08
  5. Step 5: Solve for x
    x = 6,992,729.08/3,149.97
  6. Step 6: Final answer
    x = 2,219.94

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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.