Blockchain was invented to solve one particular problem: distributed consensus on a sequence of transactions, where the choice of which transaction to include from a set of conflicting transactions is irrelevant.
The latter property here is key to understanding where blockchain is useful. It was created to solve the "double spend problem", ie. two transitions that spend the same coin but send it to different recipients (and so they conflict and cannot both be included in the canonical list of transactions). A double spend is the result of the sender either (a) making a mistake, or (b) attempting fraud. In both cases the important property is that as long as only a single of these conflicting transactions is included, the systems works.
Only if your problem exhibits the above property (and it's a distributed system) does using a blockchain make sense.
The latter property here is key to understanding where blockchain is useful. It was created to solve the "double spend problem", ie. two transitions that spend the same coin but send it to different recipients (and so they conflict and cannot both be included in the canonical list of transactions). A double spend is the result of the sender either (a) making a mistake, or (b) attempting fraud. In both cases the important property is that as long as only a single of these conflicting transactions is included, the systems works.
Only if your problem exhibits the above property (and it's a distributed system) does using a blockchain make sense.