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Finding the Fourth Proportional to 21,799, 30,082.62 and 11,863

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Solution

The fourth proportional to 21,799, 30,082.62 and 11,863 is: 16,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,799 : 30,082.62 = 11,863 : x
  2. Step 2: Convert to fraction form
    21,799/30,082.62 = 11,863/x
  3. Step 3: Cross multiply
    21,799x = 30,082.62 × 11,863
  4. Step 4: Simplify right side
    21,799x = 356,870,121.06
  5. Step 5: Solve for x
    x = 356,870,121.06/21,799
  6. Step 6: Final answer
    x = 16,370.94

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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.