Home / 8,198.82-12,306.78-3,820.50

Finding the Fourth Proportional to 8,198.82, 12,306.78 and 3,820.50

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Solution

The fourth proportional to 8,198.82, 12,306.78 and 3,820.50 is: 5,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.82 : 12,306.78 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    8,198.82/12,306.78 = 3,820.50/x
  3. Step 3: Cross multiply
    8,198.82x = 12,306.78 × 3,820.50
  4. Step 4: Simplify right side
    8,198.82x = 47,018,052.99
  5. Step 5: Solve for x
    x = 47,018,052.99/8,198.82
  6. Step 6: Final answer
    x = 5,734.73

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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.