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Finding the Fourth Proportional to 21,695, 29,939.12 and 11,759

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Solution

The fourth proportional to 21,695, 29,939.12 and 11,759 is: 16,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695 : 29,939.12 = 11,759 : x
  2. Step 2: Convert to fraction form
    21,695/29,939.12 = 11,759/x
  3. Step 3: Cross multiply
    21,695x = 29,939.12 × 11,759
  4. Step 4: Simplify right side
    21,695x = 352,054,112.08
  5. Step 5: Solve for x
    x = 352,054,112.08/21,695
  6. Step 6: Final answer
    x = 16,227.43

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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.