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Finding the Fourth Proportional to 21,910, 30,235.80 and 11,974

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Solution

The fourth proportional to 21,910, 30,235.80 and 11,974 is: 16,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910 : 30,235.80 = 11,974 : x
  2. Step 2: Convert to fraction form
    21,910/30,235.80 = 11,974/x
  3. Step 3: Cross multiply
    21,910x = 30,235.80 × 11,974
  4. Step 4: Simplify right side
    21,910x = 362,043,469.20
  5. Step 5: Solve for x
    x = 362,043,469.20/21,910
  6. Step 6: Final answer
    x = 16,524.12

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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.