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Finding the Fourth Proportional to 2,650.68, 3,976.20 and 1,351.80

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Solution

The fourth proportional to 2,650.68, 3,976.20 and 1,351.80 is: 2,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.68 : 3,976.20 = 1,351.80 : x
  2. Step 2: Convert to fraction form
    2,650.68/3,976.20 = 1,351.80/x
  3. Step 3: Cross multiply
    2,650.68x = 3,976.20 × 1,351.80
  4. Step 4: Simplify right side
    2,650.68x = 5,375,027.16
  5. Step 5: Solve for x
    x = 5,375,027.16/2,650.68
  6. Step 6: Final answer
    x = 2,027.79

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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.