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Finding the Fourth Proportional to 21,891, 30,209.62 and 11,955

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Solution

The fourth proportional to 21,891, 30,209.62 and 11,955 is: 16,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891 : 30,209.62 = 11,955 : x
  2. Step 2: Convert to fraction form
    21,891/30,209.62 = 11,955/x
  3. Step 3: Cross multiply
    21,891x = 30,209.62 × 11,955
  4. Step 4: Simplify right side
    21,891x = 361,156,007.10
  5. Step 5: Solve for x
    x = 361,156,007.10/21,891
  6. Step 6: Final answer
    x = 16,497.92

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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.