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Finding the Fourth Proportional to 33,902, 50,853 and 9,278

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Solution

The fourth proportional to 33,902, 50,853 and 9,278 is: 13,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902 : 50,853 = 9,278 : x
  2. Step 2: Convert to fraction form
    33,902/50,853 = 9,278/x
  3. Step 3: Cross multiply
    33,902x = 50,853 × 9,278
  4. Step 4: Simplify right side
    33,902x = 471,814,134
  5. Step 5: Solve for x
    x = 471,814,134/33,902
  6. Step 6: Final answer
    x = 13,917

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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.