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Finding the Fourth Proportional to 16,211, 22,371.21 and 8,759

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Solution

The fourth proportional to 16,211, 22,371.21 and 8,759 is: 12,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211 : 22,371.21 = 8,759 : x
  2. Step 2: Convert to fraction form
    16,211/22,371.21 = 8,759/x
  3. Step 3: Cross multiply
    16,211x = 22,371.21 × 8,759
  4. Step 4: Simplify right side
    16,211x = 195,949,428.39
  5. Step 5: Solve for x
    x = 195,949,428.39/16,211
  6. Step 6: Final answer
    x = 12,087.44

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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.