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Finding the Fourth Proportional to 33,856, 50,783.04 and 15,131.20

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Solution

The fourth proportional to 33,856, 50,783.04 and 15,131.20 is: 22,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856 : 50,783.04 = 15,131.20 : x
  2. Step 2: Convert to fraction form
    33,856/50,783.04 = 15,131.20/x
  3. Step 3: Cross multiply
    33,856x = 50,783.04 × 15,131.20
  4. Step 4: Simplify right side
    33,856x = 768,408,334.85
  5. Step 5: Solve for x
    x = 768,408,334.85/33,856
  6. Step 6: Final answer
    x = 22,696.37

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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.