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Finding the Fourth Proportional to 18,468.74, 27,707.20 and 7,380.65

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Solution

The fourth proportional to 18,468.74, 27,707.20 and 7,380.65 is: 11,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468.74 : 27,707.20 = 7,380.65 : x
  2. Step 2: Convert to fraction form
    18,468.74/27,707.20 = 7,380.65/x
  3. Step 3: Cross multiply
    18,468.74x = 27,707.20 × 7,380.65
  4. Step 4: Simplify right side
    18,468.74x = 204,497,196.50
  5. Step 5: Solve for x
    x = 204,497,196.50/18,468.74
  6. Step 6: Final answer
    x = 11,072.61

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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.