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Finding the Fourth Proportional to 2,704.80, 4,055.68 and 855.57

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Solution

The fourth proportional to 2,704.80, 4,055.68 and 855.57 is: 1,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.80 : 4,055.68 = 855.57 : x
  2. Step 2: Convert to fraction form
    2,704.80/4,055.68 = 855.57/x
  3. Step 3: Cross multiply
    2,704.80x = 4,055.68 × 855.57
  4. Step 4: Simplify right side
    2,704.80x = 3,469,918.14
  5. Step 5: Solve for x
    x = 3,469,918.14/2,704.80
  6. Step 6: Final answer
    x = 1,282.87

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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.