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Finding the Fourth Proportional to 18,651.82, 27,971.10 and 6,169.54

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Solution

The fourth proportional to 18,651.82, 27,971.10 and 6,169.54 is: 9,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.82 : 27,971.10 = 6,169.54 : x
  2. Step 2: Convert to fraction form
    18,651.82/27,971.10 = 6,169.54/x
  3. Step 3: Cross multiply
    18,651.82x = 27,971.10 × 6,169.54
  4. Step 4: Simplify right side
    18,651.82x = 172,568,820.29
  5. Step 5: Solve for x
    x = 172,568,820.29/18,651.82
  6. Step 6: Final answer
    x = 9,252.12

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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.