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Finding the Fourth Proportional to 8,231.81, 12,344.80 and 2,965.41

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Solution

The fourth proportional to 8,231.81, 12,344.80 and 2,965.41 is: 4,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.81 : 12,344.80 = 2,965.41 : x
  2. Step 2: Convert to fraction form
    8,231.81/12,344.80 = 2,965.41/x
  3. Step 3: Cross multiply
    8,231.81x = 12,344.80 × 2,965.41
  4. Step 4: Simplify right side
    8,231.81x = 36,607,378.54
  5. Step 5: Solve for x
    x = 36,607,378.54/8,231.81
  6. Step 6: Final answer
    x = 4,447.06

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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.