There are two factors to determine with regard to matching a tow vehicle (TV) with trailer. First, and most important, is whether you will be within the weight limits for the TV when the truck and trailer are loaded up and hitched up. The GVWR is posted on your truck (inside driver's door) and tells you the total weight allowed including truck, passengers, cargo, and hitch weight from trailer. The GCWR is the TOTAL weight allowed including loaded truck PLUS loaded weight of the trailer. Exceeding either the GVWR or the GCWR can put you at risk legally in the event of an accident; also it's not smart since the truck's manufacturer determined what was a safe and reasonable limit based on the physical nature of the truck (springs, shocks, frame strength, engine, transmission, etc).
The other factor is whether, within the limits of your TV, you will have a vehicle that is straining to pull your trailer up a hill, overheating the engine and transmission, or will tow easily and not wear out your TV prematurely.
You could tow an semi trailer with a 1/2 pickup on a level road at 1 mph but the truck wouldn't last long and it wouldn't get up a hill. I climbed up a long mountain pass towing a car trailer at 35 mph in 2nd gear years ago in an F250--being passed by loaded semis--and fried the transmission in the process. It was within the weight limits of the truck, but too much load to climb a long hill with the engine/transmission combo the truck came with.
2917 Vibe 268RKS
2011 Ford F350 FX4 CC 6.7 PSD SRW
3 Canon cameras
3 Border Collies
3 chickens a'laying