Harvard University's Berkman Center for Internet and Society just released a massive report, Enhancing Child Safety and Online Technologies. Here's a quote from the study:
Sexual solicitation and predation are serious concerns, but the image presented by the media of an older male deceiving and preying on a young child does not paint an accurate picture of the nature of the majority of sexual solicitations and Internet-initiated offline encounters; this inaccuracy leads to major risks in this area being ignored. Of particular concern are the sexual solicitations between minors and the frequency with which online-initiated sexual contact resembles statutory rape rather than other models of abuse. Finally, though some technologies can be more easily leveraged than others for solicitation, risk appears to be more correlated with a youth's psychosocial profile and risky behaviors than any particular technological platform.