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Finding the Fourth Proportional to 18,538.88, 27,811.81 and 7,446.43

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Solution

The fourth proportional to 18,538.88, 27,811.81 and 7,446.43 is: 11,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.88 : 27,811.81 = 7,446.43 : x
  2. Step 2: Convert to fraction form
    18,538.88/27,811.81 = 7,446.43/x
  3. Step 3: Cross multiply
    18,538.88x = 27,811.81 × 7,446.43
  4. Step 4: Simplify right side
    18,538.88x = 207,098,698.52
  5. Step 5: Solve for x
    x = 207,098,698.52/18,538.88
  6. Step 6: Final answer
    x = 11,171.05

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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.