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Finding the Fourth Proportional to 14,542, 20,067.96 and 7,918

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Solution

The fourth proportional to 14,542, 20,067.96 and 7,918 is: 10,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542 : 20,067.96 = 7,918 : x
  2. Step 2: Convert to fraction form
    14,542/20,067.96 = 7,918/x
  3. Step 3: Cross multiply
    14,542x = 20,067.96 × 7,918
  4. Step 4: Simplify right side
    14,542x = 158,898,107.28
  5. Step 5: Solve for x
    x = 158,898,107.28/14,542
  6. Step 6: Final answer
    x = 10,926.84

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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.