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Finding the Fourth Proportional to 33,860, 46,716 and 21,932.48

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Solution

The fourth proportional to 33,860, 46,716 and 21,932.48 is: 30,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,860 : 46,716 = 21,932.48 : x
  2. Step 2: Convert to fraction form
    33,860/46,716 = 21,932.48/x
  3. Step 3: Cross multiply
    33,860x = 46,716 × 21,932.48
  4. Step 4: Simplify right side
    33,860x = 1,024,597,735.68
  5. Step 5: Solve for x
    x = 1,024,597,735.68/33,860
  6. Step 6: Final answer
    x = 30,259.83

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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.