There are many reasons why this is the case but one important thing to keep in mind is that FDR's use of radio was the first attempt made by a U.S. president to communicate directly with the masses of ordinary Americans. The message would not be reported by newspapers but conveyed directly by the president to the largest audience imaginable at the time. In the 1930s, radio was immensely popular. Those Americans who didn't own their own radio, could still listen to it through their family members or neighbors so it was a truly mass medium. Radio was the major source of information and entertainment, including for those who could not read and didn't have access to newspapers or could not afford one (gathering as a community to listen to the radio was not unusual). Moreover, FDR talking directly to radio listeners was seen as a new way to communicate a political message - one that did not need any additional input or manipulation from any outsiders (no political bias as in the case of most newspapers). Furthermore, the Great Depression, which is when FDR popularized his fireside chats, was the time of great anxiety and uncertainty. Giving people specific information on policies (the New Deal, etc.) and reforms was new and especially important at the time when everything in the country seemed to be falling apart. Starting his presidency with the message of hope and rejection of fear, FDR projected confidence and calm in his fireside chats that many ordinary Americans needed and responded to because very little in their lives conveyed a similar tone of hope. To sum up, the fireside chats was the first time when a U.S. president decided to communicate his political agenda to the public, of which many members received the first chance to feel informed about what the government was doing to improve the overall dire economic situation. Later, after the Great Depression technically ended, World War II was another crisis that made information and communication a way to stay connected with the concerned public. Also, it's not trivial that FDR was an immensely popular president. His New Deal programs shifted electoral alliances in the country and attracted new groups of voters to the Democratic Party.
Was it common for listeners to be fireside?