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Finding the Fourth Proportional to 2,789.75, 4,186.25 and 1,250.75

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Solution

The fourth proportional to 2,789.75, 4,186.25 and 1,250.75 is: 1,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.75 : 4,186.25 = 1,250.75 : x
  2. Step 2: Convert to fraction form
    2,789.75/4,186.25 = 1,250.75/x
  3. Step 3: Cross multiply
    2,789.75x = 4,186.25 × 1,250.75
  4. Step 4: Simplify right side
    2,789.75x = 5,235,952.19
  5. Step 5: Solve for x
    x = 5,235,952.19/2,789.75
  6. Step 6: Final answer
    x = 1,876.85

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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.