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Finding the Fourth Proportional to 20,275, 27,979.50 and 11,443

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Solution

The fourth proportional to 20,275, 27,979.50 and 11,443 is: 15,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275 : 27,979.50 = 11,443 : x
  2. Step 2: Convert to fraction form
    20,275/27,979.50 = 11,443/x
  3. Step 3: Cross multiply
    20,275x = 27,979.50 × 11,443
  4. Step 4: Simplify right side
    20,275x = 320,169,418.50
  5. Step 5: Solve for x
    x = 320,169,418.50/20,275
  6. Step 6: Final answer
    x = 15,791.34

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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.