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Finding the Fourth Proportional to 36,665, 50,610.82 and 21,761

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Solution

The fourth proportional to 36,665, 50,610.82 and 21,761 is: 30,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,665 : 50,610.82 = 21,761 : x
  2. Step 2: Convert to fraction form
    36,665/50,610.82 = 21,761/x
  3. Step 3: Cross multiply
    36,665x = 50,610.82 × 21,761
  4. Step 4: Simplify right side
    36,665x = 1,101,342,054.02
  5. Step 5: Solve for x
    x = 1,101,342,054.02/36,665
  6. Step 6: Final answer
    x = 30,037.97

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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.