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Finding the Fourth Proportional to 33,408, 50,119.68 and 11,520

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Solution

The fourth proportional to 33,408, 50,119.68 and 11,520 is: 17,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 50,119.68 = 11,520 : x
  2. Step 2: Convert to fraction form
    33,408/50,119.68 = 11,520/x
  3. Step 3: Cross multiply
    33,408x = 50,119.68 × 11,520
  4. Step 4: Simplify right side
    33,408x = 577,378,713.60
  5. Step 5: Solve for x
    x = 577,378,713.60/33,408
  6. Step 6: Final answer
    x = 17,282.65

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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.