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Finding the Fourth Proportional to 18,468, 27,702 and 8,079.75

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Solution

The fourth proportional to 18,468, 27,702 and 8,079.75 is: 12,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 27,702 = 8,079.75 : x
  2. Step 2: Convert to fraction form
    18,468/27,702 = 8,079.75/x
  3. Step 3: Cross multiply
    18,468x = 27,702 × 8,079.75
  4. Step 4: Simplify right side
    18,468x = 223,825,234.50
  5. Step 5: Solve for x
    x = 223,825,234.50/18,468
  6. Step 6: Final answer
    x = 12,119.63

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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.