Yes, as it is directly proportional to the current draw of the meter...However, you did say determining the ideal value resistor would be difficult?
I think if I could get the input voltage to the meter to be @ ~5v via a resistor on the capacitor between the meter, it would be perfect...
-TheChad
So for sake of argument, the meter draws anywhere from 10mA to 150mA (purely made up, but LEDs add up quickly)
If you want to drop the voltage down from 19V to 8V, you would need a resistor that drops 11V @ 150mA (~73Ω.)
But what if the meter is drawing less current? That 73Ω will barely drop a volt.
The reason calculating this is difficult, is because many devices have a dynamic current draw that changes during operation... This change will directly affect the resulting voltage drop across the resistor which could result in the voltage dropping too much, or not enough.
This is a very simple solution mind you, and could work, but it is far from ideal and requires experimentation or knowing the current draw characteristics of the meter.
While you tinker, can you please elaborate on the wiring for the meter... or post a diagram/pic of it?