For child-parent communication you should pass a function setting the state from parent to child, like this

class Parent extends React.Component {
  constructor(props) {
    super(props)

    this.handler = this.handler.bind(this)
  }

  handler() {
    this.setState({
      someVar: 'some value'
    })
  }

  render() {
    return <Child handler = {this.handler} />
  }
}

class Child extends React.Component {
  render() {
    return <Button onClick = {this.props.handler}/ >
  }
}

This way the child can update the parent's state with the call of a function passed with props.

But you will have to rethink your components' structure, because as I understand components 5 and 3 are not related.

One possible solution is to wrap them in a higher level component which will contain the state of both component 1 and 3. This component will set the lower level state through props.

The state should be managed in the parent component. You can transfer the open value to the child component by adding a property.

class ParentComponent extends Component {
   constructor(props) {
      super(props);
      this.state = {
        open: false
      };

      this.toggleChildMenu = this.toggleChildMenu.bind(this);
   }

   toggleChildMenu() {
      this.setState(state => ({
        open: !state.open
      }));
   }

   render() {
      return (
         <div>
           <button onClick={this.toggleChildMenu}>
              Toggle Menu from Parent
           </button>
           <ChildComponent open={this.state.open} />
         </div>
       );
    }
}

class ChildComponent extends Component {
    render() {
      return (
         <Drawer open={this.props.open}/>
      );
    }
}