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Finding the Fourth Proportional to 18,188, 27,286.23 and 5,707.34

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Solution

The fourth proportional to 18,188, 27,286.23 and 5,707.34 is: 8,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188 : 27,286.23 = 5,707.34 : x
  2. Step 2: Convert to fraction form
    18,188/27,286.23 = 5,707.34/x
  3. Step 3: Cross multiply
    18,188x = 27,286.23 × 5,707.34
  4. Step 4: Simplify right side
    18,188x = 155,731,791.93
  5. Step 5: Solve for x
    x = 155,731,791.93/18,188
  6. Step 6: Final answer
    x = 8,562.34

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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.