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Finding the Fourth Proportional to 8,100, 12,150.68 and 2,256.66

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Solution

The fourth proportional to 8,100, 12,150.68 and 2,256.66 is: 3,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100 : 12,150.68 = 2,256.66 : x
  2. Step 2: Convert to fraction form
    8,100/12,150.68 = 2,256.66/x
  3. Step 3: Cross multiply
    8,100x = 12,150.68 × 2,256.66
  4. Step 4: Simplify right side
    8,100x = 27,419,942.25
  5. Step 5: Solve for x
    x = 27,419,942.25/8,100
  6. Step 6: Final answer
    x = 3,385.18

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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.