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Finding the Fourth Proportional to 2,747.74, 4,121.49 and 799.90

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Solution

The fourth proportional to 2,747.74, 4,121.49 and 799.90 is: 1,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.74 : 4,121.49 = 799.90 : x
  2. Step 2: Convert to fraction form
    2,747.74/4,121.49 = 799.90/x
  3. Step 3: Cross multiply
    2,747.74x = 4,121.49 × 799.90
  4. Step 4: Simplify right side
    2,747.74x = 3,296,779.85
  5. Step 5: Solve for x
    x = 3,296,779.85/2,747.74
  6. Step 6: Final answer
    x = 1,199.82

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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.