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Finding the Fourth Proportional to 18,137, 27,205.50 and 7,193

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Solution

The fourth proportional to 18,137, 27,205.50 and 7,193 is: 10,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137 : 27,205.50 = 7,193 : x
  2. Step 2: Convert to fraction form
    18,137/27,205.50 = 7,193/x
  3. Step 3: Cross multiply
    18,137x = 27,205.50 × 7,193
  4. Step 4: Simplify right side
    18,137x = 195,689,161.50
  5. Step 5: Solve for x
    x = 195,689,161.50/18,137
  6. Step 6: Final answer
    x = 10,789.50

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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.