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Finding the Fourth Proportional to 20,171.69, 27,833.55 and 11,218

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Solution

The fourth proportional to 20,171.69, 27,833.55 and 11,218 is: 15,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.69 : 27,833.55 = 11,218 : x
  2. Step 2: Convert to fraction form
    20,171.69/27,833.55 = 11,218/x
  3. Step 3: Cross multiply
    20,171.69x = 27,833.55 × 11,218
  4. Step 4: Simplify right side
    20,171.69x = 312,236,763.90
  5. Step 5: Solve for x
    x = 312,236,763.90/20,171.69
  6. Step 6: Final answer
    x = 15,478.96

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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.