How do I solve this proportion?

Giving ad is congruent to bc and angle bcd is congruent to angle adc prove d e is going to ce

The value √10 and √15 are plotted on the number line

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?