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Finding the Fourth Proportional to 18,414, 27,588.24 and 10,606.68

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Solution

The fourth proportional to 18,414, 27,588.24 and 10,606.68 is: 15,891.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 27,588.24 = 10,606.68 : x
  2. Step 2: Convert to fraction form
    18,414/27,588.24 = 10,606.68/x
  3. Step 3: Cross multiply
    18,414x = 27,588.24 × 10,606.68
  4. Step 4: Simplify right side
    18,414x = 292,619,633.44
  5. Step 5: Solve for x
    x = 292,619,633.44/18,414
  6. Step 6: Final answer
    x = 15,891.15

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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.