The total number of fiction books in the library are 2385.
The constant of proportionality is the ratio of two proportional values at a constant value.
Let the total number of fiction books be f and nonfiction books be n.
According to the given question.
The constant of propotionality between the number of fiction book(f) and the number of non-fiction books(n) in a library is [tex]\frac{15}{22}[/tex].
[tex]\implies \frac{f}{n} = \frac{15}{22}[/tex]
Also, the total number of nonfiction books is 3498.
Therefore,
[tex]\frac{f}{3498} = \frac{15}{22}[/tex]
[tex]\implies f = \frac{15}{22} \times 3498[/tex]
[tex]\implies f = 15\times 159[/tex]
[tex]\implies f = 2385[/tex]
Hence, the total number of fiction books in the library are 2385.
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