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Finding the Fourth Proportional to 3,163.76, 4,745.08 and 855.44

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Solution

The fourth proportional to 3,163.76, 4,745.08 and 855.44 is: 1,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.76 : 4,745.08 = 855.44 : x
  2. Step 2: Convert to fraction form
    3,163.76/4,745.08 = 855.44/x
  3. Step 3: Cross multiply
    3,163.76x = 4,745.08 × 855.44
  4. Step 4: Simplify right side
    3,163.76x = 4,059,131.24
  5. Step 5: Solve for x
    x = 4,059,131.24/3,163.76
  6. Step 6: Final answer
    x = 1,283.01

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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.