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Finding the Fourth Proportional to 18,505.41, 27,761.03 and 7,978.43

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Solution

The fourth proportional to 18,505.41, 27,761.03 and 7,978.43 is: 11,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.41 : 27,761.03 = 7,978.43 : x
  2. Step 2: Convert to fraction form
    18,505.41/27,761.03 = 7,978.43/x
  3. Step 3: Cross multiply
    18,505.41x = 27,761.03 × 7,978.43
  4. Step 4: Simplify right side
    18,505.41x = 221,489,315.72
  5. Step 5: Solve for x
    x = 221,489,315.72/18,505.41
  6. Step 6: Final answer
    x = 11,968.90

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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.