How large can I print a 4000 x 3000 image?
Divide each pixel dimension by your chosen PPI target. At 300 PPI, 4000 × 3000 pixels corresponds to about 13.33 × 10 inches before cropping.
Use the numbers from your actual job
The guide explains the decision; the linked calculator gives you the value for your own file or production assumptions.
Check the source pixels and final physical size
Resolution decisions should start with the actual pixel dimensions, the intended physical output and the target or provider-specified PPI. Metadata labels alone do not add or remove source pixels.
Apply the answer to this specific question
Divide each pixel dimension by your chosen PPI target. At 300 PPI, 4000 × 3000 pixels corresponds to about 13.33 × 10 inches before cropping. The practical consequence should be checked with Maximum Print Size Calculator, 300 PPI Print Size Calculator when your own dimensions, page count, cost or production values differ from the example implied by the question.
What commonly changes the result
For “How large can I print a 4000 x 3000 image?”, the most important variables are the ones represented by the linked calculator and any provider-controlled specification. A correct arithmetic result can still be unsuitable if the source dimensions, category, page yield, trim, bleed, margin or production method were assumed incorrectly.
A better verification workflow
For How large can I print a 4000 x 3000 image?, record the source measurement or controlling specification first, then run the real job values through maximum print size, 300 ppi print size. Keep the result with the job notes, compare it with the physical file or material, and recheck any provider-controlled rule immediately before production or upload.
Practical answer
Divide each pixel dimension by your chosen PPI target. At 300 PPI, 4000 × 3000 pixels corresponds to about 13.33 × 10 inches before cropping.
When the decision affects a paid print run, book upload, client order or expensive material, keep the calculation with the job notes and verify any external specification again immediately before production.