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Finding the Fourth Proportional to 3,163.57, 4,745.36 and 855.07

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Solution

The fourth proportional to 3,163.57, 4,745.36 and 855.07 is: 1,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.57 : 4,745.36 = 855.07 : x
  2. Step 2: Convert to fraction form
    3,163.57/4,745.36 = 855.07/x
  3. Step 3: Cross multiply
    3,163.57x = 4,745.36 × 855.07
  4. Step 4: Simplify right side
    3,163.57x = 4,057,614.98
  5. Step 5: Solve for x
    x = 4,057,614.98/3,163.57
  6. Step 6: Final answer
    x = 1,282.61

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Similar ratio
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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.