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Finding the Fourth Proportional to 19,831, 27,366.78 and 10,999

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Solution

The fourth proportional to 19,831, 27,366.78 and 10,999 is: 15,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831 : 27,366.78 = 10,999 : x
  2. Step 2: Convert to fraction form
    19,831/27,366.78 = 10,999/x
  3. Step 3: Cross multiply
    19,831x = 27,366.78 × 10,999
  4. Step 4: Simplify right side
    19,831x = 301,007,213.22
  5. Step 5: Solve for x
    x = 301,007,213.22/19,831
  6. Step 6: Final answer
    x = 15,178.62

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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.