High density altitude reduces engine power output (less oxygen per intake stroke), reduces propeller thrust (less air mass accelerated per revolution), and means the aircraft needs higher true airspeed at liftoff (wings need more TAS to generate the same lift force). All three effects increase the distance required.
Correction factors at typical DAs
0 ft
×1.000
Baseline — published figures apply directly
2,000 ft
×1.061
6% longer — minor, verify with POH charts
4,000 ft
×1.126
13% longer — significant, check runway length
6,000 ft
×1.197
20% longer — plan carefully, consider early departure
8,000 ft
×1.273
27% longer — seriously evaluate feasibility
10,000 ft
×1.355
35% longer — may be impossible for some aircraft