Home / 8,098.14-12,142.38-3,162

Finding the Fourth Proportional to 8,098.14, 12,142.38 and 3,162

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Solution

The fourth proportional to 8,098.14, 12,142.38 and 3,162 is: 4,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.14 : 12,142.38 = 3,162 : x
  2. Step 2: Convert to fraction form
    8,098.14/12,142.38 = 3,162/x
  3. Step 3: Cross multiply
    8,098.14x = 12,142.38 × 3,162
  4. Step 4: Simplify right side
    8,098.14x = 38,394,205.56
  5. Step 5: Solve for x
    x = 38,394,205.56/8,098.14
  6. Step 6: Final answer
    x = 4,741.11

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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.