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Finding the Fourth Proportional to 8,268, 12,402.72 and 2,112

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Solution

The fourth proportional to 8,268, 12,402.72 and 2,112 is: 3,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268 : 12,402.72 = 2,112 : x
  2. Step 2: Convert to fraction form
    8,268/12,402.72 = 2,112/x
  3. Step 3: Cross multiply
    8,268x = 12,402.72 × 2,112
  4. Step 4: Simplify right side
    8,268x = 26,194,544.64
  5. Step 5: Solve for x
    x = 26,194,544.64/8,268
  6. Step 6: Final answer
    x = 3,168.18

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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.