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Finding the Fourth Proportional to 2,791.92, 3,849.12 and 2,004.56

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Solution

The fourth proportional to 2,791.92, 3,849.12 and 2,004.56 is: 2,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.92 : 3,849.12 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    2,791.92/3,849.12 = 2,004.56/x
  3. Step 3: Cross multiply
    2,791.92x = 3,849.12 × 2,004.56
  4. Step 4: Simplify right side
    2,791.92x = 7,715,791.99
  5. Step 5: Solve for x
    x = 7,715,791.99/2,791.92
  6. Step 6: Final answer
    x = 2,763.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.