How does one manage multiple projects with limited financial and human resources?

Only with proper planning it can be possible.

The one who is smart, confident, flexible, and motivator. Personally i think being passionate about the project one is doing, is certainly more manageable than other. 

I hope it makes sense.

By arranging them on the basis of feasibily.  Most feasible project should be done first. 

Create Program Organizational charts

Set Project Priority based on value, feasibility, stakeholder needs

then manage project by Work organizational structure