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Finding the Fourth Proportional to 2,079.28, 3,118.92 and 618.43

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Solution

The fourth proportional to 2,079.28, 3,118.92 and 618.43 is: 927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.28 : 3,118.92 = 618.43 : x
  2. Step 2: Convert to fraction form
    2,079.28/3,118.92 = 618.43/x
  3. Step 3: Cross multiply
    2,079.28x = 3,118.92 × 618.43
  4. Step 4: Simplify right side
    2,079.28x = 1,928,833.70
  5. Step 5: Solve for x
    x = 1,928,833.70/2,079.28
  6. Step 6: Final answer
    x = 927.65

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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.