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Finding the Fourth Proportional to 8,151, 12,189.12 and 6,072.42

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Solution

The fourth proportional to 8,151, 12,189.12 and 6,072.42 is: 9,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151 : 12,189.12 = 6,072.42 : x
  2. Step 2: Convert to fraction form
    8,151/12,189.12 = 6,072.42/x
  3. Step 3: Cross multiply
    8,151x = 12,189.12 × 6,072.42
  4. Step 4: Simplify right side
    8,151x = 74,017,456.07
  5. Step 5: Solve for x
    x = 74,017,456.07/8,151
  6. Step 6: Final answer
    x = 9,080.78

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1.5x scale

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.