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Finding the Fourth Proportional to 2,747.70, 4,122.25 and 799.90

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Solution

The fourth proportional to 2,747.70, 4,122.25 and 799.90 is: 1,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.70 : 4,122.25 = 799.90 : x
  2. Step 2: Convert to fraction form
    2,747.70/4,122.25 = 799.90/x
  3. Step 3: Cross multiply
    2,747.70x = 4,122.25 × 799.90
  4. Step 4: Simplify right side
    2,747.70x = 3,297,387.78
  5. Step 5: Solve for x
    x = 3,297,387.78/2,747.70
  6. Step 6: Final answer
    x = 1,200.05

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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.