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The well-known classical summation theorems due to Dougall and certain transformation formulas due to Whipple and Bailey for very well-poised hypergeometric functions are extended by introducing two additional pairs of numerator and denominator parameters with unit differences. These results have been derived with the help of well-known Bailey’s transform and a recently added extension of the Saalschütz theorem in the literature. The special cases of the results are shown to give some contiguous and parameters with integer differences type extensions of numerous hypergeometric summations. Applications of the results to a number of very interesting and general summations for Ramanujan type series involving $$\pi $$ π and some other constants are also discussed.