Question 964639
In the x-direction, the distance from A to B is {{{4-1=3}}}.
If the distance from A to point P is equal to 3x, the distance from P to B is equal to x. 
Then the distance from A to B would be {{{3x+x=4x}}}
{{{4x=3}}}
{{{x=3/4}}}
So then starting at A, 
{{{P[x]=1+3(3/4)}}}
{{{P[x]=1+9/4}}}
{{{P[x]=13/4}}}
Similarly for y, the y distance is {{{3-1=2}}}
{{{4y=2}}}
{{{y=1/2}}}
Again starting at A,
{{{P[y]=1+3(1/2)}}}
{{{P[y]=1+3/2}}}
{{{P[y]=5/2}}}
({{{13/4}}},{{{5/2}}})