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Finding the Fourth Proportional to 12,166.56, 18,249.84 and 3,846.60

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Solution

The fourth proportional to 12,166.56, 18,249.84 and 3,846.60 is: 5,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.56 : 18,249.84 = 3,846.60 : x
  2. Step 2: Convert to fraction form
    12,166.56/18,249.84 = 3,846.60/x
  3. Step 3: Cross multiply
    12,166.56x = 18,249.84 × 3,846.60
  4. Step 4: Simplify right side
    12,166.56x = 70,199,834.54
  5. Step 5: Solve for x
    x = 70,199,834.54/12,166.56
  6. Step 6: Final answer
    x = 5,769.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.