Figures collated by The Fostering Network based on a survey of 1,125 foster carers also show that one in four teenagers are living with at least their fourth family and around one is six is onto at least their fifth family.
The charity said moving young people from home to home is "hugely detrimental" to wellbeing and education.
The figures have been published to coincide with the start of the charity's Foster Care Fortnight campaign (which runs 1-14 June) to highlight how a shortage of carers is hindering efforts to match children with the right family.
The Fostering Network said more than 8,000 additional foster families are required to keep pace with demand.
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