The 22-year-old was one away from matching Hector Scarone's record five-goal haul for the South American giants but was elated with his tally nonetheless
Coach Oscar Tabarez fielded a completely different starting XI to that which defeated Nigeria in their previous outing and the Palermo striker was delighted to have taken full advantage of his starting berth on Sunday.
"I've never scored four goals in the first team [at club level], less with the national team," Hernandez told Ovacion Digital.
"I'm happy, it's a tremendous joy personally, especially since I got it with the Uruguayan national team shirt."
Hernandez fell one short of equalling Uruguay legend Hector Scarone's record of five goals in one game for the national side, but he remains confident he will have done enough to ensure he plays a part in the semi-finals against Brazil.
"At every opportunity I have attempted to show what I can do on the pitch. I hope to continue. Now we have to think about Brazil," Hernandez continued.
"Brazil is a great team that has very good players. We also have a lot of quality players and we will show what we can give."
Diego Perez was also on the scoresheet against Tahiti, and he stressed the importance of turning their full focus on the clash with the hosts on Wednesday.
"We have to recover as soon as possible to play the semi-final on Wednesday. They play very well and so we will respect them, as we do with all national teams," he warned.
"We must not make mistakes in order to get a good result. These are the games where you have to be focused from the first minute."