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Finding the Fourth Proportional to 2,128.70, 3,193.05 and 667.85

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Solution

The fourth proportional to 2,128.70, 3,193.05 and 667.85 is: 1,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.70 : 3,193.05 = 667.85 : x
  2. Step 2: Convert to fraction form
    2,128.70/3,193.05 = 667.85/x
  3. Step 3: Cross multiply
    2,128.70x = 3,193.05 × 667.85
  4. Step 4: Simplify right side
    2,128.70x = 2,132,478.44
  5. Step 5: Solve for x
    x = 2,132,478.44/2,128.70
  6. Step 6: Final answer
    x = 1,001.78

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Similar ratio
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1.5x scale

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.