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Finding the Fourth Proportional to 18,651.44, 27,978.75 and 6,171.12

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Solution

The fourth proportional to 18,651.44, 27,978.75 and 6,171.12 is: 9,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.44 : 27,978.75 = 6,171.12 : x
  2. Step 2: Convert to fraction form
    18,651.44/27,978.75 = 6,171.12/x
  3. Step 3: Cross multiply
    18,651.44x = 27,978.75 × 6,171.12
  4. Step 4: Simplify right side
    18,651.44x = 172,660,223.70
  5. Step 5: Solve for x
    x = 172,660,223.70/18,651.44
  6. Step 6: Final answer
    x = 9,257.20

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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.