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Finding the Fourth Proportional to 36,776, 50,751 and 20,009

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Solution

The fourth proportional to 36,776, 50,751 and 20,009 is: 27,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 50,751 = 20,009 : x
  2. Step 2: Convert to fraction form
    36,776/50,751 = 20,009/x
  3. Step 3: Cross multiply
    36,776x = 50,751 × 20,009
  4. Step 4: Simplify right side
    36,776x = 1,015,476,759
  5. Step 5: Solve for x
    x = 1,015,476,759/36,776
  6. Step 6: Final answer
    x = 27,612.49

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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.