Seriously, just upgrade. I used to work for a vet who had the cheapest prices around. One of the ways he did that was he kept using old tech all the time. We had imacs (you know the fishbowl/original type? Can't even run OSX?) for our computers. That were running some version of OS 8 (Couldn't even run 9 which was a better OS imho)!!!! I don't know how but when he replaced our microwave that didn't work at all (I mean it pretended to work) he managed to find one that still had a dial rather than buttons (This was like 2005). He does not upgrade to the newest. Even he this past year gave in and upgraded his imacs to ones that can run OSX.
Buy even a used mac mini or whatever they are. Won't cost you much. Won't be today's equivalent of yours but given yours age I bet it's still a lot more capable than yours. And won't cost you too much. And then you can run the current OS and synch any new apple products you get (I'm surprised you only now ran into this problem).