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Finding the Fourth Proportional to 33,878.24, 50,820.20 and 11,691.80

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Solution

The fourth proportional to 33,878.24, 50,820.20 and 11,691.80 is: 17,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.24 : 50,820.20 = 11,691.80 : x
  2. Step 2: Convert to fraction form
    33,878.24/50,820.20 = 11,691.80/x
  3. Step 3: Cross multiply
    33,878.24x = 50,820.20 × 11,691.80
  4. Step 4: Simplify right side
    33,878.24x = 594,179,555.90
  5. Step 5: Solve for x
    x = 594,179,555.90/33,878.24
  6. Step 6: Final answer
    x = 17,538.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.