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Finding the Fourth Proportional to 2,691.19, 3,711.78 and 1,947.61

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Solution

The fourth proportional to 2,691.19, 3,711.78 and 1,947.61 is: 2,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.19 : 3,711.78 = 1,947.61 : x
  2. Step 2: Convert to fraction form
    2,691.19/3,711.78 = 1,947.61/x
  3. Step 3: Cross multiply
    2,691.19x = 3,711.78 × 1,947.61
  4. Step 4: Simplify right side
    2,691.19x = 7,229,104.49
  5. Step 5: Solve for x
    x = 7,229,104.49/2,691.19
  6. Step 6: Final answer
    x = 2,686.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.