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Finding the Fourth Proportional to 2,134.43, 3,201.65 and 673.70

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Solution

The fourth proportional to 2,134.43, 3,201.65 and 673.70 is: 1,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.43 : 3,201.65 = 673.70 : x
  2. Step 2: Convert to fraction form
    2,134.43/3,201.65 = 673.70/x
  3. Step 3: Cross multiply
    2,134.43x = 3,201.65 × 673.70
  4. Step 4: Simplify right side
    2,134.43x = 2,156,951.61
  5. Step 5: Solve for x
    x = 2,156,951.61/2,134.43
  6. Step 6: Final answer
    x = 1,010.55

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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.