Adjusting things, as you did, to 'equalize' the speakers' impedance values is not necessary at all. Most modern solid state receivers can easily handle that without you doing anything unusual.
Unless you measure the impedance of your speakers as you expose them to pink noise or a frequency sweep, you cannot predict what the total impedance will be. Because of your original post, I doubt if you have the necessary measuring gear. No harm with that – few of us actually have that gear. But don't expect that you can treat this as a typical DC circuit and add up the various resistances of those series-wired devices.
If I understand your diagram correctly, you built a small speaker with two drivers, each of which is rated as having 4 ohms impedance, and you wired them in parallel to each other. Three questions:
- Are those two drivers identical?
- Or are they a small woofer and tweeter?
- Are they without a crossover?
Then you wired that smaller speaker in series with the Sony 3-way tower. Right, or wrong?
You didn't mention the make & model of the two drivers in your small speaker. The mid-woofer(s) can only go so high in frequency before they cannot go higher. Some will naturally loose response without complaining too much, but others make ugly sounding noise when they are exposed to frequencies they cannot handle. This is called woofer break-up noise. You should always use a low-pass filter that blocks those offending higher frequencies. That's one major reason why we use crossovers.
If your small speaker has a woofer and tweeter, and if you drive them without any crossover, the tweeter will distort and live a short life. Without a high-pass filter, it will be exposed to low frequencies that it was never designed to handle. That's a second major reason why we use crossovers. (There are many more reasons, but I'll stop with those two.)
If you meant this to explain what you did, I don't understand your reasoning.
The top box speakers can't handle power more than 40 watts without failing. The Sony tower can handle much higher power. They should be able to also get louder alone than with the added top box speakers.
- Why limit the Sony towers?
- Or, why expose the top box to damaging power?
Remove the top box speakers, and attach the Sony towers in the normal way. You may find they sound better without the top box. Don't worry about the difference between the 6 ohm towers and 8 ohm impedance speakers in the other channels. Your AVR should be able to take that in stride.