I see Ryan Air operates the Boeing 737-800, so, technically, our instructor friend grasscarp is correct (never argue wit the instructors!) The 73-800(as it's known in the aviation world) is powered by the CFM56-7BE turbofan jet engines. Although it is a turbojet engine, it shares the technology of a
shrouded fan in the front which is, by all definitions a multi-bladed propeller.
Seen here:
http://www.cfmaeroengines.com/engines/cfm56-7b .
The noise change detected by the passenger described can be caused by a number of things, but impending engine failure is way at the bottom of a list of possibilities. If there was only slight turbulence, for example, the engines compensate for the additional or lessened air intake, compression, fuel burning and exhaust.
Additionally, the cabin pressurization system can be the likely culprit when describing noises and changes. Air is taken from just aft of the compression area in the engines (known in our profession as "bleed air") manipulated, cooled, heated, reduced in pressure and finally injected into the interior of the aircraft. This process probably accounts for nearly 50% of cabin noise.
All this is said to explain that both the Boeing 737 series (originally certificated here in the U.S. in 1967-1968) and its engines is one of the safest airplanes ever designed. The increasingly dependable engines used thoughout its lifetime are well proven. So much so that similar engines on other Boeing and Airbus twin engine aircraft have reached a milestone of being allowed to fly over oceans and Polar routes that only require a suitable landing field at one engine out speeds to be within 330 minutes (originally this ETOPS (“Extended Range Operation with Two-Engine Airplanes", was only 60 minutes).
Lotsa white knuckle fliers out there, but there's very little to be concerned about, other than locating the "Lav Occupied" sign...