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Finding the Fourth Proportional to 33,870, 50,813.10 and 21,469.68

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Solution

The fourth proportional to 33,870, 50,813.10 and 21,469.68 is: 32,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,870 : 50,813.10 = 21,469.68 : x
  2. Step 2: Convert to fraction form
    33,870/50,813.10 = 21,469.68/x
  3. Step 3: Cross multiply
    33,870x = 50,813.10 × 21,469.68
  4. Step 4: Simplify right side
    33,870x = 1,090,940,996.81
  5. Step 5: Solve for x
    x = 1,090,940,996.81/33,870
  6. Step 6: Final answer
    x = 32,209.65

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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.