Final answer:
The Dreikaiserbund furthered Bismarck's aims by maintaining the balance of power in Europe, conserving Prussia's and later Germany's dominance, and strategically using alliances to isolate France and prevent a two-front war.
Step-by-step explanation:
The Dreikaiserbund was an alliance that seemed to fulfill Otto von Bismarck's foreign policy aims by maintaining the balance of power in Europe, primarily through the conservative policies established by Bismarck to strengthen Prussia and later the unified Germany. By focusing on Realpolitik, where practical considerations took precedence over moral or ideological ones, Bismarck strategically used alliances to check the power of both Russia and France, preventing either from becoming a threat to German interests. This included manipulating nationalist sentiments to win wars that unified the German states, knocking Austria out of contention for control over the German confederation, and annexing territories such as Schleswig and Holstein, all while avoiding direct conquest which could have led to resentment and increased difficulties for Prussia.
Furthermore, Bismarck's policies led to alliances that would protect German interests, such as the military alliance with Austria-Hungary and the later Triple Alliance that sought to counterbalance the influence of other European powers. Notably, the Dreikaiserbund between Germany, Austria-Hungary, and Russia was aimed at keeping France isolated and preventing a two-front war that could be detrimental to German dominance in the region.