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Finding the Fourth Proportional to 21,800, 30,084 and 11,864

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Solution

The fourth proportional to 21,800, 30,084 and 11,864 is: 16,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 30,084 = 11,864 : x
  2. Step 2: Convert to fraction form
    21,800/30,084 = 11,864/x
  3. Step 3: Cross multiply
    21,800x = 30,084 × 11,864
  4. Step 4: Simplify right side
    21,800x = 356,916,576
  5. Step 5: Solve for x
    x = 356,916,576/21,800
  6. Step 6: Final answer
    x = 16,372.32

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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.