Finding A Value in a Scale (or 2)

jasemase

New member
Joined
Sep 26, 2019
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Hello! I'm not the best at math but can figure things out the long way. The math I am doing is for work. I'm not even sure how to ask this. So I have two ranges which is:

4mA to 20mA
32°F to 140°F

If I am measuring 9.6mA with my meter what should my temperature be on the corresponding temperature scale? What's the fastest way to find the answer? Here is how I find the answer but I feel like it's slow and not efficient.

9.6mA - 4 = 5.6
16 / 5.6 = 2.86
108 / 2.86 = 37.76
37.76 + 32 = 69.76

Rather than doing this in four separate steps and having to clear my calculator every time, is there a faster way? Thanks!
 
Taking your input, here 9.6 mA, to be "X" what you have is
\(\displaystyle X- 4\)
\(\displaystyle \frac{X- 4}{5.6}\)
\(\displaystyle \frac{108}{\left(\frac{X- 4}{5.6}\right)}= \frac{604.8}{X- 4}\)
\(\displaystyle \frac{604.8}{X- 4}+ 32\)
 
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