Make sure you have your complete projects! Scrivener project in Dropbox are not just a single file, they are a folder, inside of which lies your .scrivx file and other folders and files, as shown below:
If you look at the path I circled in red, you see that I’ve gone inside the Testing.scriv folder in the Dropbox web interface. I now see my associated .scrivx file, but there are those other folders that are where the actual data is contained.
To easily retrieve the entire project via the Dropbox web interface from your PC or Mac, move back up to the level where you see your Name.scriv folder and use the three dot menu to select Download. This will download a ZIP file containing your entire Scrivener project – top-level.scriv folder, .scrivx file, and associated content – which you can then Unzip, then use iTunes file transfer to copy to your iPad.