Skyhawk 172/Cutlass 172
Flight Crew Flight Instructor; Flight Crew Commercial; Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 30; Flight Crew Total 300; Flight Crew Type 250
Aircraft Equipment Problem Critical
Flight Crew Landed in Emergency Condition
Aircraft
We were established on final approach at 1;500 feet. We made a radio call stating that we were 3.6 NM to the north inbound on a straight in approach. The student performed the before landing checklist 3 NM from the runway. The student added 10 degrees of flaps; reduced power from 2500 RPM to 1500 RPM and started our descent. I noticed at roughly 1.6 NM from the runway that we were too high and needed to increase flaps from 20 to 30 degrees. We continued our descent [and] at 500 feet I noticed that we were too low and I asked the student to add power. She stated that she added full throttle; I reached over and verified full throttle to be sure because there was no change in power. I looked at the tachometer and saw that the power was at 1000 RPM. I took the controls from the student realizing that we had an engine failure. I brought the plane into ground effect and could not make it to the runway. I landed the aircraft between 30 and 50 feet from the end of the runway and bounced over the Runway End Identifier Lights onto the runway. We then coasted to a full stop 100 feet short of the 1;000 foot markings. I secured the aircraft and called for help removing the aircraft from the runway.
Cessna 172 instructor pilot reported engine failure on final approach. A safe landing was made just short of the runway.