Home / 2,942.05-4,413.07-750.78

Finding the Fourth Proportional to 2,942.05, 4,413.07 and 750.78

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Solution

The fourth proportional to 2,942.05, 4,413.07 and 750.78 is: 1,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.05 : 4,413.07 = 750.78 : x
  2. Step 2: Convert to fraction form
    2,942.05/4,413.07 = 750.78/x
  3. Step 3: Cross multiply
    2,942.05x = 4,413.07 × 750.78
  4. Step 4: Simplify right side
    2,942.05x = 3,313,241.29
  5. Step 5: Solve for x
    x = 3,313,241.29/2,942.05
  6. Step 6: Final answer
    x = 1,126.17

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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.