Division of a Line Segment in a Given Ratio
In this problem, we are given a point (1,2) which divides a line segment in a ratio of 3:4. We need to find the ordinate of the point.

Understanding the Ratio
When a point divides a line segment in a given ratio, it means that the point is dividing the segment into two parts such that the ratio of the lengths of the two parts is given. In this case, the ratio is 3:4.

Using the Section Formula
We can use the section formula to find the coordinates of the point that divides the line segment. The section formula states that if a point divides a line segment with endpoints (x1, y1) and (x2, y2) in the ratio m:n, then the coordinates of the point are given by:
x = (mx2 + nx1) / (m + n)
y = (my2 + ny1) / (m + n)
In this case, the coordinates of the endpoints are (1,2) and the ratio is 3:4. So, m = 3 and n = 4.

Calculating the Ordinate
Using the section formula, we can calculate the ordinate of the point that divides the line segment in the given ratio of 3:4. Plugging in the values, we get:
y = (3*2 + 4*0) / (3 + 4)
y = (6) / 7
y = 6/7
Therefore, the ordinate of the point that divides the line segment in the ratio 3:4 is 6/7.