The birth rate across the world is decreasing. As more countries are reaching a developed status people tend to have less kids. So the implication that this will become a major economic and cultural problem is probably a bit too far.
As the article points out this is very much a cultural problem. Europe and the West also tends to favour males, but to the point it's almost negligible, especially in comparisons to Asia.
The real problem nation that is going to be a big indicator in how the other big disparity nations go, is Japan. Japan I think has the biggest issue with this, to the point that their birth rate has plummeted, far more than it should have done. The average age of people in Japan is their late 40s now ( Correct me if wrong). Japan didn't even have the 1 child policy, to my knowledge. If Japan figures out a way to resolve this, then the other nations will probably follow.
It's not just the culture favoring one gender, their is rampant sexism and racism in Japan, China, (I'm not sure on India.). If you're a woman in these societies you're fucked. The freedom of women is improving, China has more female millionaires than anyone else I think, but on average you are probably going to face way more sexism in these countries than in Western ones.
I don't really think the gender disparity will lead to massive problems, but it probably will lead to some sort of cultural revolution, on par with the 60s in the West.