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Finding the Fourth Proportional to 18,131.24, 27,164.68 and 7,578

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Solution

The fourth proportional to 18,131.24, 27,164.68 and 7,578 is: 11,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.24 : 27,164.68 = 7,578 : x
  2. Step 2: Convert to fraction form
    18,131.24/27,164.68 = 7,578/x
  3. Step 3: Cross multiply
    18,131.24x = 27,164.68 × 7,578
  4. Step 4: Simplify right side
    18,131.24x = 205,853,926.10
  5. Step 5: Solve for x
    x = 205,853,926.10/18,131.24
  6. Step 6: Final answer
    x = 11,353.55

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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.