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Finding the Fourth Proportional to 12,165.96, 18,251.67 and 3,846.47

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Solution

The fourth proportional to 12,165.96, 18,251.67 and 3,846.47 is: 5,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.96 : 18,251.67 = 3,846.47 : x
  2. Step 2: Convert to fraction form
    12,165.96/18,251.67 = 3,846.47/x
  3. Step 3: Cross multiply
    12,165.96x = 18,251.67 × 3,846.47
  4. Step 4: Simplify right side
    12,165.96x = 70,204,501.10
  5. Step 5: Solve for x
    x = 70,204,501.10/12,165.96
  6. Step 6: Final answer
    x = 5,770.57

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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.