Let's call the number we are looking for x. Then three times that number is 3*x, and 12 less than that is 3*x-12. So the equation we need to solve is 3*x-12 > 4. Adding 12 to both sides, we get 3*x > 16. Then dividing both sides by 3, we get x > 16/3. So any value of x greater than 16/3 solves the inequality. 16/3 can also be expressed as 5 and 1/3, which is 5.333... in decimal.