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Finding the Fourth Proportional to 3,163.92, 4,745.10 and 942.30

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Solution

The fourth proportional to 3,163.92, 4,745.10 and 942.30 is: 1,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.92 : 4,745.10 = 942.30 : x
  2. Step 2: Convert to fraction form
    3,163.92/4,745.10 = 942.30/x
  3. Step 3: Cross multiply
    3,163.92x = 4,745.10 × 942.30
  4. Step 4: Simplify right side
    3,163.92x = 4,471,307.73
  5. Step 5: Solve for x
    x = 4,471,307.73/3,163.92
  6. Step 6: Final answer
    x = 1,413.22

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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.