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Finding the Fourth Proportional to 15,892.34, 21,932.19 and 8,818.82

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Solution

The fourth proportional to 15,892.34, 21,932.19 and 8,818.82 is: 12,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.34 : 21,932.19 = 8,818.82 : x
  2. Step 2: Convert to fraction form
    15,892.34/21,932.19 = 8,818.82/x
  3. Step 3: Cross multiply
    15,892.34x = 21,932.19 × 8,818.82
  4. Step 4: Simplify right side
    15,892.34x = 193,416,035.82
  5. Step 5: Solve for x
    x = 193,416,035.82/15,892.34
  6. Step 6: Final answer
    x = 12,170.39

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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.