I need to come up with a scaling factor for the data from Experiment-2, to make it as close as possible to the data in Experiment-1

"as close as possible" can have several different interpretations. From a mathematical stand point, you have to define an error function and find the scaling factor that minimizes it.

Besides that, there is an obvious solution:

my @e1 = (2, 3.23, 7, 9, 11.3479);
my @e2 = (3.3333, 1.433, 8.0577, 9.7344, 13.3377);

my $sum = 0;
$sum += $e2[$_]/$e1[$_] for 0..$#e1;
my $f = $sum / @e1;
say "average scaling factor: $f";
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That will minimize the error (e2-e1*f)/e1.