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Finding the Fourth Proportional to 2,768.25, 4,152.38 and 1,229.25

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Solution

The fourth proportional to 2,768.25, 4,152.38 and 1,229.25 is: 1,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.25 : 4,152.38 = 1,229.25 : x
  2. Step 2: Convert to fraction form
    2,768.25/4,152.38 = 1,229.25/x
  3. Step 3: Cross multiply
    2,768.25x = 4,152.38 × 1,229.25
  4. Step 4: Simplify right side
    2,768.25x = 5,104,306.97
  5. Step 5: Solve for x
    x = 5,104,306.97/2,768.25
  6. Step 6: Final answer
    x = 1,843.88

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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.