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Finding the Fourth Proportional to 21,978, 30,329.76 and 11,906.52

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Solution

The fourth proportional to 21,978, 30,329.76 and 11,906.52 is: 16,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978 : 30,329.76 = 11,906.52 : x
  2. Step 2: Convert to fraction form
    21,978/30,329.76 = 11,906.52/x
  3. Step 3: Cross multiply
    21,978x = 30,329.76 × 11,906.52
  4. Step 4: Simplify right side
    21,978x = 361,121,894.04
  5. Step 5: Solve for x
    x = 361,121,894.04/21,978
  6. Step 6: Final answer
    x = 16,431.06

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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.