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Finding the Fourth Proportional to 3,282.73, 4,923.37 and 942.21

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Solution

The fourth proportional to 3,282.73, 4,923.37 and 942.21 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.73 : 4,923.37 = 942.21 : x
  2. Step 2: Convert to fraction form
    3,282.73/4,923.37 = 942.21/x
  3. Step 3: Cross multiply
    3,282.73x = 4,923.37 × 942.21
  4. Step 4: Simplify right side
    3,282.73x = 4,638,850.90
  5. Step 5: Solve for x
    x = 4,638,850.90/3,282.73
  6. Step 6: Final answer
    x = 1,413.11

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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.