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Finding the Fourth Proportional to 2,747.02, 4,120.75 and 799.22

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Solution

The fourth proportional to 2,747.02, 4,120.75 and 799.22 is: 1,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.02 : 4,120.75 = 799.22 : x
  2. Step 2: Convert to fraction form
    2,747.02/4,120.75 = 799.22/x
  3. Step 3: Cross multiply
    2,747.02x = 4,120.75 × 799.22
  4. Step 4: Simplify right side
    2,747.02x = 3,293,385.82
  5. Step 5: Solve for x
    x = 3,293,385.82/2,747.02
  6. Step 6: Final answer
    x = 1,198.89

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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.