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Finding the Fourth Proportional to 21,879, 30,193.20 and 11,943

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Solution

The fourth proportional to 21,879, 30,193.20 and 11,943 is: 16,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879 : 30,193.20 = 11,943 : x
  2. Step 2: Convert to fraction form
    21,879/30,193.20 = 11,943/x
  3. Step 3: Cross multiply
    21,879x = 30,193.20 × 11,943
  4. Step 4: Simplify right side
    21,879x = 360,597,387.60
  5. Step 5: Solve for x
    x = 360,597,387.60/21,879
  6. Step 6: Final answer
    x = 16,481.44

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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.