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Finding the Fourth Proportional to 18,489.23, 27,722.73 and 7,231.16

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Solution

The fourth proportional to 18,489.23, 27,722.73 and 7,231.16 is: 10,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.23 : 27,722.73 = 7,231.16 : x
  2. Step 2: Convert to fraction form
    18,489.23/27,722.73 = 7,231.16/x
  3. Step 3: Cross multiply
    18,489.23x = 27,722.73 × 7,231.16
  4. Step 4: Simplify right side
    18,489.23x = 200,467,357.65
  5. Step 5: Solve for x
    x = 200,467,357.65/18,489.23
  6. Step 6: Final answer
    x = 10,842.39

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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.