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Finding the Fourth Proportional to 5,500, 8,250 and 2,422

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Solution

The fourth proportional to 5,500, 8,250 and 2,422 is: 3,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500 : 8,250 = 2,422 : x
  2. Step 2: Convert to fraction form
    5,500/8,250 = 2,422/x
  3. Step 3: Cross multiply
    5,500x = 8,250 × 2,422
  4. Step 4: Simplify right side
    5,500x = 19,981,500
  5. Step 5: Solve for x
    x = 19,981,500/5,500
  6. Step 6: Final answer
    x = 3,633

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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.