Yes, equality and justice are interrelated. I believe so because if there is no equality, then the system that gives justice cannot function freely and fairly.
Equality is a basic element of democracy and if someone is not treated equally, then he/she has the right to demand equal treatment from the government.
The Constitution of India has taken measures to ensure equality and justice to all. It has abolished the practice of untouchability. If a person complains that he/she has been discriminated against, he/she can seek justice.
Thus, it can be stated that justice cannot be met without providing equality.