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Finding the Fourth Proportional to 33,840, 50,760 and 9,216

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Solution

The fourth proportional to 33,840, 50,760 and 9,216 is: 13,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840 : 50,760 = 9,216 : x
  2. Step 2: Convert to fraction form
    33,840/50,760 = 9,216/x
  3. Step 3: Cross multiply
    33,840x = 50,760 × 9,216
  4. Step 4: Simplify right side
    33,840x = 467,804,160
  5. Step 5: Solve for x
    x = 467,804,160/33,840
  6. Step 6: Final answer
    x = 13,824

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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.