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Finding the Fourth Proportional to 18,561.52, 27,841.81 and 5,414.00

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Solution

The fourth proportional to 18,561.52, 27,841.81 and 5,414.00 is: 8,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.52 : 27,841.81 = 5,414.00 : x
  2. Step 2: Convert to fraction form
    18,561.52/27,841.81 = 5,414.00/x
  3. Step 3: Cross multiply
    18,561.52x = 27,841.81 × 5,414.00
  4. Step 4: Simplify right side
    18,561.52x = 150,735,642.48
  5. Step 5: Solve for x
    x = 150,735,642.48/18,561.52
  6. Step 6: Final answer
    x = 8,120.87

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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.