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Finding the Fourth Proportional to 18,581.80, 27,882.30 and 8,194.60

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Solution

The fourth proportional to 18,581.80, 27,882.30 and 8,194.60 is: 12,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.80 : 27,882.30 = 8,194.60 : x
  2. Step 2: Convert to fraction form
    18,581.80/27,882.30 = 8,194.60/x
  3. Step 3: Cross multiply
    18,581.80x = 27,882.30 × 8,194.60
  4. Step 4: Simplify right side
    18,581.80x = 228,484,295.58
  5. Step 5: Solve for x
    x = 228,484,295.58/18,581.80
  6. Step 6: Final answer
    x = 12,296.13

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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.