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Finding the Fourth Proportional to 36,954, 50,996.84 and 20,187

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Solution

The fourth proportional to 36,954, 50,996.84 and 20,187 is: 27,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954 : 50,996.84 = 20,187 : x
  2. Step 2: Convert to fraction form
    36,954/50,996.84 = 20,187/x
  3. Step 3: Cross multiply
    36,954x = 50,996.84 × 20,187
  4. Step 4: Simplify right side
    36,954x = 1,029,473,209.08
  5. Step 5: Solve for x
    x = 1,029,473,209.08/36,954
  6. Step 6: Final answer
    x = 27,858.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.