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Finding the Fourth Proportional to 33,846, 50,769 and 9,222

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Solution

The fourth proportional to 33,846, 50,769 and 9,222 is: 13,833

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846 : 50,769 = 9,222 : x
  2. Step 2: Convert to fraction form
    33,846/50,769 = 9,222/x
  3. Step 3: Cross multiply
    33,846x = 50,769 × 9,222
  4. Step 4: Simplify right side
    33,846x = 468,191,718
  5. Step 5: Solve for x
    x = 468,191,718/33,846
  6. Step 6: Final answer
    x = 13,833

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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.