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If the answer to this equation L ∝ 4π · (r)^2 · (T)^4 would be 10 for example, would this mean that the proportional increase in luminosity would be 10 times greater than that of the Sun? But is this correct?

Sorry no, I mean, if the answer to this equation L ∝ 4π · (r)^2 · (T)^4 is 10 for example, would this mean that the proportional increase in luminosity would be 10 times greater than that of the Sun? I think I am confusing myself with the fact that the Sun has a luminosity figure of 1.

Thank you very much for confirming. I've edited a sentence slightly. Could you also confirm this statement? If the value is less than 1 then it is this value times less luminous than the Sun and if the value is more than 1 then it is this value times more luminous than the Sun. Thank you again.

I am attempting to calculate the proportional luminosity of a fictitious star using surface area and temperature in kelvin. To what level of accuracy can I expect from the formula L ∝ AT^4? Where L = Luminosity, A = surface area and T = Temperature L ∝ AT^4 L ∝ 4π · (r)^2 · (T)^4 If I replace...