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Finding the Fourth Proportional to 21,494, 29,663.34 and 11,936

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Solution

The fourth proportional to 21,494, 29,663.34 and 11,936 is: 16,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494 : 29,663.34 = 11,936 : x
  2. Step 2: Convert to fraction form
    21,494/29,663.34 = 11,936/x
  3. Step 3: Cross multiply
    21,494x = 29,663.34 × 11,936
  4. Step 4: Simplify right side
    21,494x = 354,061,626.24
  5. Step 5: Solve for x
    x = 354,061,626.24/21,494
  6. Step 6: Final answer
    x = 16,472.58

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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.