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Finding the Fourth Proportional to 2,734.43, 4,102.18 and 979.97

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Solution

The fourth proportional to 2,734.43, 4,102.18 and 979.97 is: 1,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.43 : 4,102.18 = 979.97 : x
  2. Step 2: Convert to fraction form
    2,734.43/4,102.18 = 979.97/x
  3. Step 3: Cross multiply
    2,734.43x = 4,102.18 × 979.97
  4. Step 4: Simplify right side
    2,734.43x = 4,019,990.37
  5. Step 5: Solve for x
    x = 4,019,990.37/2,734.43
  6. Step 6: Final answer
    x = 1,470.14

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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.