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Finding the Fourth Proportional to 33,122.40, 49,683.60 and 10,939.20

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Solution

The fourth proportional to 33,122.40, 49,683.60 and 10,939.20 is: 16,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.40 : 49,683.60 = 10,939.20 : x
  2. Step 2: Convert to fraction form
    33,122.40/49,683.60 = 10,939.20/x
  3. Step 3: Cross multiply
    33,122.40x = 49,683.60 × 10,939.20
  4. Step 4: Simplify right side
    33,122.40x = 543,498,837.12
  5. Step 5: Solve for x
    x = 543,498,837.12/33,122.40
  6. Step 6: Final answer
    x = 16,408.80

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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.