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Finding the Fourth Proportional to 33,870, 50,814.72 and 13,099.44

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Solution

The fourth proportional to 33,870, 50,814.72 and 13,099.44 is: 19,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870 : 50,814.72 = 13,099.44 : x
  2. Step 2: Convert to fraction form
    33,870/50,814.72 = 13,099.44/x
  3. Step 3: Cross multiply
    33,870x = 50,814.72 × 13,099.44
  4. Step 4: Simplify right side
    33,870x = 665,644,375.76
  5. Step 5: Solve for x
    x = 665,644,375.76/33,870
  6. Step 6: Final answer
    x = 19,652.92

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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.