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Finding the Fourth Proportional to 18,067.78, 27,109.42 and 6,982.25

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Solution

The fourth proportional to 18,067.78, 27,109.42 and 6,982.25 is: 10,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,067.78 : 27,109.42 = 6,982.25 : x
  2. Step 2: Convert to fraction form
    18,067.78/27,109.42 = 6,982.25/x
  3. Step 3: Cross multiply
    18,067.78x = 27,109.42 × 6,982.25
  4. Step 4: Simplify right side
    18,067.78x = 189,284,747.28
  5. Step 5: Solve for x
    x = 189,284,747.28/18,067.78
  6. Step 6: Final answer
    x = 10,476.37

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1.5x scale

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.