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Finding the Fourth Proportional to 18,512.27, 27,769.16 and 15,414.12

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Solution

The fourth proportional to 18,512.27, 27,769.16 and 15,414.12 is: 23,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.27 : 27,769.16 = 15,414.12 : x
  2. Step 2: Convert to fraction form
    18,512.27/27,769.16 = 15,414.12/x
  3. Step 3: Cross multiply
    18,512.27x = 27,769.16 × 15,414.12
  4. Step 4: Simplify right side
    18,512.27x = 428,037,164.54
  5. Step 5: Solve for x
    x = 428,037,164.54/18,512.27
  6. Step 6: Final answer
    x = 23,121.81

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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.