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Finding the Fourth Proportional to 18,500, 27,745.92 and 8,634.08

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Solution

The fourth proportional to 18,500, 27,745.92 and 8,634.08 is: 12,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500 : 27,745.92 = 8,634.08 : x
  2. Step 2: Convert to fraction form
    18,500/27,745.92 = 8,634.08/x
  3. Step 3: Cross multiply
    18,500x = 27,745.92 × 8,634.08
  4. Step 4: Simplify right side
    18,500x = 239,560,492.95
  5. Step 5: Solve for x
    x = 239,560,492.95/18,500
  6. Step 6: Final answer
    x = 12,949.22

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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.