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Finding the Fourth Proportional to 2,067.90, 2,853.12 and 1,227.90

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Solution

The fourth proportional to 2,067.90, 2,853.12 and 1,227.90 is: 1,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.90 : 2,853.12 = 1,227.90 : x
  2. Step 2: Convert to fraction form
    2,067.90/2,853.12 = 1,227.90/x
  3. Step 3: Cross multiply
    2,067.90x = 2,853.12 × 1,227.90
  4. Step 4: Simplify right side
    2,067.90x = 3,503,346.05
  5. Step 5: Solve for x
    x = 3,503,346.05/2,067.90
  6. Step 6: Final answer
    x = 1,694.16

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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.