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Finding the Fourth Proportional to 33,619.80, 50,415.12 and 11,427.22

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Solution

The fourth proportional to 33,619.80, 50,415.12 and 11,427.22 is: 17,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,619.80 : 50,415.12 = 11,427.22 : x
  2. Step 2: Convert to fraction form
    33,619.80/50,415.12 = 11,427.22/x
  3. Step 3: Cross multiply
    33,619.80x = 50,415.12 × 11,427.22
  4. Step 4: Simplify right side
    33,619.80x = 576,104,730.59
  5. Step 5: Solve for x
    x = 576,104,730.59/33,619.80
  6. Step 6: Final answer
    x = 17,135.87

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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.