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Finding the Fourth Proportional to 33,464, 50,196 and 11,576

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Solution

The fourth proportional to 33,464, 50,196 and 11,576 is: 17,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464 : 50,196 = 11,576 : x
  2. Step 2: Convert to fraction form
    33,464/50,196 = 11,576/x
  3. Step 3: Cross multiply
    33,464x = 50,196 × 11,576
  4. Step 4: Simplify right side
    33,464x = 581,068,896
  5. Step 5: Solve for x
    x = 581,068,896/33,464
  6. Step 6: Final answer
    x = 17,364

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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.