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Finding the Fourth Proportional to 3,678.25, 5,517.38 and 942.25

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Solution

The fourth proportional to 3,678.25, 5,517.38 and 942.25 is: 1,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.25 : 5,517.38 = 942.25 : x
  2. Step 2: Convert to fraction form
    3,678.25/5,517.38 = 942.25/x
  3. Step 3: Cross multiply
    3,678.25x = 5,517.38 × 942.25
  4. Step 4: Simplify right side
    3,678.25x = 5,198,751.31
  5. Step 5: Solve for x
    x = 5,198,751.31/3,678.25
  6. Step 6: Final answer
    x = 1,413.38

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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.