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Finding the Fourth Proportional to 12,179.54, 18,268.11 and 8,256

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Solution

The fourth proportional to 12,179.54, 18,268.11 and 8,256 is: 12,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.54 : 18,268.11 = 8,256 : x
  2. Step 2: Convert to fraction form
    12,179.54/18,268.11 = 8,256/x
  3. Step 3: Cross multiply
    12,179.54x = 18,268.11 × 8,256
  4. Step 4: Simplify right side
    12,179.54x = 150,821,516.16
  5. Step 5: Solve for x
    x = 150,821,516.16/12,179.54
  6. Step 6: Final answer
    x = 12,383.19

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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.