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Finding the Fourth Proportional to 2,650.50, 3,976.83 and 1,351.26

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Solution

The fourth proportional to 2,650.50, 3,976.83 and 1,351.26 is: 2,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,976.83 = 1,351.26 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,976.83 = 1,351.26/x
  3. Step 3: Cross multiply
    2,650.50x = 3,976.83 × 1,351.26
  4. Step 4: Simplify right side
    2,650.50x = 5,373,731.31
  5. Step 5: Solve for x
    x = 5,373,731.31/2,650.50
  6. Step 6: Final answer
    x = 2,027.44

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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.