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Finding the Fourth Proportional to 2,149, 3,221.32 and 762

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Solution

The fourth proportional to 2,149, 3,221.32 and 762 is: 1,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149 : 3,221.32 = 762 : x
  2. Step 2: Convert to fraction form
    2,149/3,221.32 = 762/x
  3. Step 3: Cross multiply
    2,149x = 3,221.32 × 762
  4. Step 4: Simplify right side
    2,149x = 2,454,645.84
  5. Step 5: Solve for x
    x = 2,454,645.84/2,149
  6. Step 6: Final answer
    x = 1,142.23

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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.