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Finding the Fourth Proportional to 18,498.32, 27,742.50 and 8,627.96

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Solution

The fourth proportional to 18,498.32, 27,742.50 and 8,627.96 is: 12,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498.32 : 27,742.50 = 8,627.96 : x
  2. Step 2: Convert to fraction form
    18,498.32/27,742.50 = 8,627.96/x
  3. Step 3: Cross multiply
    18,498.32x = 27,742.50 × 8,627.96
  4. Step 4: Simplify right side
    18,498.32x = 239,361,180.30
  5. Step 5: Solve for x
    x = 239,361,180.30/18,498.32
  6. Step 6: Final answer
    x = 12,939.62

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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.