Step 1: Śrīmad Bhāgavata Purāṇa.
This Purāṇa is highly revered and dedicated to Lord Viṣṇu, with a focus on Kṛṣṇa’s life and philosophy.
It traditionally comprises approximately 18,000 Ślokas. Identified as A - IV.
Step 2: Bhaviṣya Purāṇa.
This Purāṇa, named "Bhaviṣya" (future), centers on prophecies and future events.
It is considered one of the largest Purāṇas, containing around 81,000 Ślokas. Identified as B - II.
Step 3: Skanda Purāṇa.
The Skanda Purāṇa is dedicated to Lord Kārtikeya (Skanda).
It contains approximately 24,500 Ślokas. Identified as C - III.
Step 4: Matsya Purāṇa.
Dedicated to Matsya, the fish incarnation of Viṣṇu, it is among the earliest Purāṇas.
It contains about 14,000 Ślokas. Identified as D - I.
Step 5: Conclusion.
The correct matching is therefore: A - IV, B - II, C - III, D - I.