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Finding the Fourth Proportional to 2,791.78, 4,183.75 and 2,098

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Solution

The fourth proportional to 2,791.78, 4,183.75 and 2,098 is: 3,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.78 : 4,183.75 = 2,098 : x
  2. Step 2: Convert to fraction form
    2,791.78/4,183.75 = 2,098/x
  3. Step 3: Cross multiply
    2,791.78x = 4,183.75 × 2,098
  4. Step 4: Simplify right side
    2,791.78x = 8,777,507.50
  5. Step 5: Solve for x
    x = 8,777,507.50/2,791.78
  6. Step 6: Final answer
    x = 3,144.06

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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.