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Finding the Fourth Proportional to 21,885, 30,201.30 and 11,949

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Solution

The fourth proportional to 21,885, 30,201.30 and 11,949 is: 16,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885 : 30,201.30 = 11,949 : x
  2. Step 2: Convert to fraction form
    21,885/30,201.30 = 11,949/x
  3. Step 3: Cross multiply
    21,885x = 30,201.30 × 11,949
  4. Step 4: Simplify right side
    21,885x = 360,875,333.70
  5. Step 5: Solve for x
    x = 360,875,333.70/21,885
  6. Step 6: Final answer
    x = 16,489.62

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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.