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Finding the Fourth Proportional to 33,797, 50,718.54 and 11,909

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Solution

The fourth proportional to 33,797, 50,718.54 and 11,909 is: 17,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797 : 50,718.54 = 11,909 : x
  2. Step 2: Convert to fraction form
    33,797/50,718.54 = 11,909/x
  3. Step 3: Cross multiply
    33,797x = 50,718.54 × 11,909
  4. Step 4: Simplify right side
    33,797x = 604,007,092.86
  5. Step 5: Solve for x
    x = 604,007,092.86/33,797
  6. Step 6: Final answer
    x = 17,871.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.