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Finding the Fourth Proportional to 3,163.78, 4,745.67 and 823.78

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Solution

The fourth proportional to 3,163.78, 4,745.67 and 823.78 is: 1,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.78 : 4,745.67 = 823.78 : x
  2. Step 2: Convert to fraction form
    3,163.78/4,745.67 = 823.78/x
  3. Step 3: Cross multiply
    3,163.78x = 4,745.67 × 823.78
  4. Step 4: Simplify right side
    3,163.78x = 3,909,388.03
  5. Step 5: Solve for x
    x = 3,909,388.03/3,163.78
  6. Step 6: Final answer
    x = 1,235.67

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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.