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Finding the Fourth Proportional to 18,622.31, 27,933.80 and 8,092.34

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Solution

The fourth proportional to 18,622.31, 27,933.80 and 8,092.34 is: 12,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,622.31 : 27,933.80 = 8,092.34 : x
  2. Step 2: Convert to fraction form
    18,622.31/27,933.80 = 8,092.34/x
  3. Step 3: Cross multiply
    18,622.31x = 27,933.80 × 8,092.34
  4. Step 4: Simplify right side
    18,622.31x = 226,049,731.71
  5. Step 5: Solve for x
    x = 226,049,731.71/18,622.31
  6. Step 6: Final answer
    x = 12,138.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.