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Finding the Fourth Proportional to 21,827, 30,121.26 and 11,891

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Solution

The fourth proportional to 21,827, 30,121.26 and 11,891 is: 16,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827 : 30,121.26 = 11,891 : x
  2. Step 2: Convert to fraction form
    21,827/30,121.26 = 11,891/x
  3. Step 3: Cross multiply
    21,827x = 30,121.26 × 11,891
  4. Step 4: Simplify right side
    21,827x = 358,171,902.66
  5. Step 5: Solve for x
    x = 358,171,902.66/21,827
  6. Step 6: Final answer
    x = 16,409.58

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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.