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Finding the Fourth Proportional to 33,231.60, 49,847.40 and 31,919.40

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Solution

The fourth proportional to 33,231.60, 49,847.40 and 31,919.40 is: 47,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.60 : 49,847.40 = 31,919.40 : x
  2. Step 2: Convert to fraction form
    33,231.60/49,847.40 = 31,919.40/x
  3. Step 3: Cross multiply
    33,231.60x = 49,847.40 × 31,919.40
  4. Step 4: Simplify right side
    33,231.60x = 1,591,099,099.56
  5. Step 5: Solve for x
    x = 1,591,099,099.56/33,231.60
  6. Step 6: Final answer
    x = 47,879.10

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1.5x scale

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.