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Finding the Fourth Proportional to 3,786.72, 5,680.26 and 1,704.48

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Solution

The fourth proportional to 3,786.72, 5,680.26 and 1,704.48 is: 2,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.72 : 5,680.26 = 1,704.48 : x
  2. Step 2: Convert to fraction form
    3,786.72/5,680.26 = 1,704.48/x
  3. Step 3: Cross multiply
    3,786.72x = 5,680.26 × 1,704.48
  4. Step 4: Simplify right side
    3,786.72x = 9,681,889.56
  5. Step 5: Solve for x
    x = 9,681,889.56/3,786.72
  6. Step 6: Final answer
    x = 2,556.80

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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.