Therefore, the pressure of a column of fluid is proportional to the density of the fluid and to the height of the column of fluid above the level. The pressure of a column of fluid is proportional to ...Therefore, the pressure of a column of fluid is proportional to the density of the fluid and to the height of the column of fluid above the level. The pressure of a column of fluid is proportional to the density of the fluid and to the height of the column of fluid above the level, P=ρgh. If you push the head of a nail against your skin and then push the point of the same nail against your skin with the same force, the point of the nail may pierce your skin while the head of the nail will not.