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Finding the Fourth Proportional to 11,786.25, 17,679.39 and 3,578.25

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Solution

The fourth proportional to 11,786.25, 17,679.39 and 3,578.25 is: 5,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.25 : 17,679.39 = 3,578.25 : x
  2. Step 2: Convert to fraction form
    11,786.25/17,679.39 = 3,578.25/x
  3. Step 3: Cross multiply
    11,786.25x = 17,679.39 × 3,578.25
  4. Step 4: Simplify right side
    11,786.25x = 63,261,277.27
  5. Step 5: Solve for x
    x = 63,261,277.27/11,786.25
  6. Step 6: Final answer
    x = 5,367.38

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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.