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Finding the Fourth Proportional to 36,789, 50,769 and 20,022

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Solution

The fourth proportional to 36,789, 50,769 and 20,022 is: 27,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,789 : 50,769 = 20,022 : x
  2. Step 2: Convert to fraction form
    36,789/50,769 = 20,022/x
  3. Step 3: Cross multiply
    36,789x = 50,769 × 20,022
  4. Step 4: Simplify right side
    36,789x = 1,016,496,918
  5. Step 5: Solve for x
    x = 1,016,496,918/36,789
  6. Step 6: Final answer
    x = 27,630.46

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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.