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Finding the Fourth Proportional to 3,679.97, 5,078.09 and 2,086.90

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Solution

The fourth proportional to 3,679.97, 5,078.09 and 2,086.90 is: 2,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.97 : 5,078.09 = 2,086.90 : x
  2. Step 2: Convert to fraction form
    3,679.97/5,078.09 = 2,086.90/x
  3. Step 3: Cross multiply
    3,679.97x = 5,078.09 × 2,086.90
  4. Step 4: Simplify right side
    3,679.97x = 10,597,458.54
  5. Step 5: Solve for x
    x = 10,597,458.54/3,679.97
  6. Step 6: Final answer
    x = 2,879.77

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1.5x scale

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.