Use Alexa toolbar & make more back-link & try to find more visitor.

I don't Know Why Alexa Rank is bothering you. Google Doesn't consider alexa factors for ranking. there is no use for alexa rank

alexa rank depend on traffic of your sit

put alexa tool bar widget

But alexa rank is not based on the traffic associated with alexa toolbar?

In SEO field "Alexa" provides complete information about your website.
It provides the local & global ranking of a particular website and also analyse and show the percentage of visitors of your site.
Few tips for improving Alexa rank of your site-
Niche of your blog.
Frequently updating blog.
Giving backlink to Alexa.
Comment on blogging niche blogs.

Improve the quality of content of your website
Rewrite the content
Quality backlinks
On page SEO