Performance Counter by Process ID instead of name?

This answer to a related question might work:

private static string GetProcessInstanceName(int pid)
{
  PerformanceCounterCategory cat = new PerformanceCounterCategory("Process");

  string[] instances = cat.GetInstanceNames();
  foreach (string instance in instances)
  {

     using (PerformanceCounter cnt = new PerformanceCounter("Process",  
          "ID Process", instance, true))
     {
        int val = (int) cnt.RawValue;
        if (val == pid)
        {
           return instance;
        }
     }
  }
  throw new Exception("Could not find performance counter " + 
      "instance name for current process. This is truly strange ...");
}