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Finding the Fourth Proportional to 8,135.59, 12,183.80 and 3,965.41

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Solution

The fourth proportional to 8,135.59, 12,183.80 and 3,965.41 is: 5,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.59 : 12,183.80 = 3,965.41 : x
  2. Step 2: Convert to fraction form
    8,135.59/12,183.80 = 3,965.41/x
  3. Step 3: Cross multiply
    8,135.59x = 12,183.80 × 3,965.41
  4. Step 4: Simplify right side
    8,135.59x = 48,313,762.36
  5. Step 5: Solve for x
    x = 48,313,762.36/8,135.59
  6. Step 6: Final answer
    x = 5,938.57

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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.