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Finding the Fourth Proportional to 2,128.61, 3,193.08 and 667.75

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Solution

The fourth proportional to 2,128.61, 3,193.08 and 667.75 is: 1,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.61 : 3,193.08 = 667.75 : x
  2. Step 2: Convert to fraction form
    2,128.61/3,193.08 = 667.75/x
  3. Step 3: Cross multiply
    2,128.61x = 3,193.08 × 667.75
  4. Step 4: Simplify right side
    2,128.61x = 2,132,179.17
  5. Step 5: Solve for x
    x = 2,132,179.17/2,128.61
  6. Step 6: Final answer
    x = 1,001.68

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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.