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Finding the Fourth Proportional to 2,561.97, 3,842.82 and 1,263

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Solution

The fourth proportional to 2,561.97, 3,842.82 and 1,263 is: 1,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.97 : 3,842.82 = 1,263 : x
  2. Step 2: Convert to fraction form
    2,561.97/3,842.82 = 1,263/x
  3. Step 3: Cross multiply
    2,561.97x = 3,842.82 × 1,263
  4. Step 4: Simplify right side
    2,561.97x = 4,853,481.66
  5. Step 5: Solve for x
    x = 4,853,481.66/2,561.97
  6. Step 6: Final answer
    x = 1,894.43

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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.