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Finding the Fourth Proportional to 21,922, 30,252.84 and 11,986

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Solution

The fourth proportional to 21,922, 30,252.84 and 11,986 is: 16,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 30,252.84 = 11,986 : x
  2. Step 2: Convert to fraction form
    21,922/30,252.84 = 11,986/x
  3. Step 3: Cross multiply
    21,922x = 30,252.84 × 11,986
  4. Step 4: Simplify right side
    21,922x = 362,610,540.24
  5. Step 5: Solve for x
    x = 362,610,540.24/21,922
  6. Step 6: Final answer
    x = 16,540.94

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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.