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Finding the Fourth Proportional to 18,561, 27,844.08 and 5,414.32

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Solution

The fourth proportional to 18,561, 27,844.08 and 5,414.32 is: 8,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 27,844.08 = 5,414.32 : x
  2. Step 2: Convert to fraction form
    18,561/27,844.08 = 5,414.32/x
  3. Step 3: Cross multiply
    18,561x = 27,844.08 × 5,414.32
  4. Step 4: Simplify right side
    18,561x = 150,756,759.23
  5. Step 5: Solve for x
    x = 150,756,759.23/18,561
  6. Step 6: Final answer
    x = 8,122.23

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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.